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Simplifying 6x = x2 + -40 Reorder the terms: 6x = -40 + x2 Solving 6x = -40 + x2 Solving for variable 'x'. Reorder the terms: 40 + 6x + -1x2 = -40 + x2 + 40 + -1x2 Reorder the terms: 40 + 6x + -1x2 = -40 + 40 + x2 + -1x2 Combine like terms: -40 + 40 = 0 40 + 6x + -1x2 = 0 + x2 + -1x2 40 + 6x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 40 + 6x + -1x2 = 0 Factor a trinomial. (10 + -1x)(4 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {10, -4}
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