2x^2=-10x+12
what are the solutions to this equation

x = -6 and x = 1

Step-by-step explanation:

Move everything to the left side of the equation by subtracting (-10x + 12)

2x² = -10x + 12

2x² + 10x - 12 = 0

Divide each side by 2:

x² + 5x - 6

Find 2 factors of -6 that add up to 5. These factors are 6 and -1

x² + 5x - 6

(x + 6)(x - 1)

Set this equal to 0 and solve for x

(x + 6)(x - 1)

x + 6 = 0

x = -6

x - 1 = 0

x = 1

So, the solutions to the equation are x = -6 and x = 1

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step-by-step explanation:

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