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Simplifying 5x2 + 12 + -2x = 36 Reorder the terms: 12 + -2x + 5x2 = 36 Solving 12 + -2x + 5x2 = 36 Solving for variable 'x'. Reorder the terms: 12 + -36 + -2x + 5x2 = 36 + -36 Combine like terms: 12 + -36 = -24 -24 + -2x + 5x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -24 + -2x + 5x2 = 0 Factor a trinomial. (-2 + -1x)(12 + -5x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 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 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4Solution
x = {-2, 2.4}
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