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Simplifying 3x2 + 10x = 4x2 + -24 Reorder the terms: 10x + 3x2 = 4x2 + -24 Reorder the terms: 10x + 3x2 = -24 + 4x2 Solving 10x + 3x2 = -24 + 4x2 Solving for variable 'x'. Reorder the terms: 24 + 10x + 3x2 + -4x2 = -24 + 4x2 + 24 + -4x2 Combine like terms: 3x2 + -4x2 = -1x2 24 + 10x + -1x2 = -24 + 4x2 + 24 + -4x2 Reorder the terms: 24 + 10x + -1x2 = -24 + 24 + 4x2 + -4x2 Combine like terms: -24 + 24 = 0 24 + 10x + -1x2 = 0 + 4x2 + -4x2 24 + 10x + -1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 24 + 10x + -1x2 = 0 Factor a trinomial. (12 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {12, -2}
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