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Simplifying 4x2 = 46x + 140 Reorder the terms: 4x2 = 140 + 46x Solving 4x2 = 140 + 46x Solving for variable 'x'. Reorder the terms: -140 + -46x + 4x2 = 140 + 46x + -140 + -46x Reorder the terms: -140 + -46x + 4x2 = 140 + -140 + 46x + -46x Combine like terms: 140 + -140 = 0 -140 + -46x + 4x2 = 0 + 46x + -46x -140 + -46x + 4x2 = 46x + -46x Combine like terms: 46x + -46x = 0 -140 + -46x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-70 + -23x + 2x2) = 0 Factor a trinomial. 2((-5 + -2x)(14 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-2.5, 14}
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