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Simplifying 5x2 + 8x + -46 = 2 Reorder the terms: -46 + 8x + 5x2 = 2 Solving -46 + 8x + 5x2 = 2 Solving for variable 'x'. Reorder the terms: -46 + -2 + 8x + 5x2 = 2 + -2 Combine like terms: -46 + -2 = -48 -48 + 8x + 5x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -48 + 8x + 5x2 = 0 Factor a trinomial. (-4 + -1x)(12 + -5x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 2.4}
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