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Simplifying 8x2 + 24x = 7x2 + -80 Reorder the terms: 24x + 8x2 = 7x2 + -80 Reorder the terms: 24x + 8x2 = -80 + 7x2 Solving 24x + 8x2 = -80 + 7x2 Solving for variable 'x'. Reorder the terms: 80 + 24x + 8x2 + -7x2 = -80 + 7x2 + 80 + -7x2 Combine like terms: 8x2 + -7x2 = 1x2 80 + 24x + 1x2 = -80 + 7x2 + 80 + -7x2 Reorder the terms: 80 + 24x + 1x2 = -80 + 80 + 7x2 + -7x2 Combine like terms: -80 + 80 = 0 80 + 24x + 1x2 = 0 + 7x2 + -7x2 80 + 24x + 1x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 80 + 24x + 1x2 = 0 Factor a trinomial. (20 + x)(4 + x) = 0Subproblem 1
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Subproblem 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 = {-20, -4}
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