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Simplifying -7x2 + 10x + 24 = -8x2 + 3 Reorder the terms: 24 + 10x + -7x2 = -8x2 + 3 Reorder the terms: 24 + 10x + -7x2 = 3 + -8x2 Solving 24 + 10x + -7x2 = 3 + -8x2 Solving for variable 'x'. Reorder the terms: 24 + -3 + 10x + -7x2 + 8x2 = 3 + -8x2 + -3 + 8x2 Combine like terms: 24 + -3 = 21 21 + 10x + -7x2 + 8x2 = 3 + -8x2 + -3 + 8x2 Combine like terms: -7x2 + 8x2 = 1x2 21 + 10x + 1x2 = 3 + -8x2 + -3 + 8x2 Reorder the terms: 21 + 10x + 1x2 = 3 + -3 + -8x2 + 8x2 Combine like terms: 3 + -3 = 0 21 + 10x + 1x2 = 0 + -8x2 + 8x2 21 + 10x + 1x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 21 + 10x + 1x2 = 0 Factor a trinomial. (7 + x)(3 + x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-7, -3}
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