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Simplifying 56x2 = 160x + 256 Reorder the terms: 56x2 = 256 + 160x Solving 56x2 = 256 + 160x Solving for variable 'x'. Reorder the terms: -256 + -160x + 56x2 = 256 + 160x + -256 + -160x Reorder the terms: -256 + -160x + 56x2 = 256 + -256 + 160x + -160x Combine like terms: 256 + -256 = 0 -256 + -160x + 56x2 = 0 + 160x + -160x -256 + -160x + 56x2 = 160x + -160x Combine like terms: 160x + -160x = 0 -256 + -160x + 56x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-32 + -20x + 7x2) = 0 Factor a trinomial. 8((-8 + -7x)(4 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 2
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 = 4Solution
x = {-1.142857143, 4}
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