15 points asap solve the equation by completing the square. round to the nearest hundredth if necessary. x^2 + 3x = 25

Simplifying x2 + 3x = 25
  Reorder the terms: 3x + x2 = 25
 Solving 3x + x2 = 25 Solving for variable 'x'.
 Reorder the terms: -25 + 3x + x2 = 25 + -25
 Combine like terms: 25 + -25 = 0 -25 + 3x + x2 = 0
  Begin completing the square. Move the constant term to the right: Add '25' to each side of the equation. -25 + 3x + 25 + x2 = 0 + 25
 Reorder the terms: -25 + 25 + 3x + x2 = 0 + 25
  Combine like terms: -25 + 25 = 0 0 + 3x + x2 = 0 + 25 3x + x2 = 0 + 25 Combine like terms: 0 + 25 = 25 3x + x2 = 25 The x term is 3x.
 Take half its coefficient (1.5). Square it (2.25) and add it to both sides.
 Add '2.25' to each side of the equation. 3x + 2.25 + x2 = 25 + 2.25
  Reorder the terms: 2.25 + 3x + x2 = 25 + 2.25
  Combine like terms: 25 + 2.25 = 27.25 2.25 + 3x + x2 = 27.25
  Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 27.25
 Calculate the square root of the right side: 5.220153254
  Break this problem into two subproblems by setting (x + 1.5) equal to 5.220153254 and -5.220153254.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

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