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Simplifying 40x = 5x2 + 80 Reorder the terms: 40x = 80 + 5x2 Solving 40x = 80 + 5x2 Solving for variable 'x'. Reorder the terms: -80 + 40x + -5x2 = 80 + 5x2 + -80 + -5x2 Reorder the terms: -80 + 40x + -5x2 = 80 + -80 + 5x2 + -5x2 Combine like terms: 80 + -80 = 0 -80 + 40x + -5x2 = 0 + 5x2 + -5x2 -80 + 40x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -80 + 40x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-16 + 8x + -1x2) = 0 Factor a trinomial. 5((-4 + x)(4 + -1x)) = 0 Ignore the factor 5.Subproblem 1
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 = 4Subproblem 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 = {4, 4}
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