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Simplifying 4x2 + 60x + 224 = 840 Reorder the terms: 224 + 60x + 4x2 = 840 Solving 224 + 60x + 4x2 = 840 Solving for variable 'x'. Reorder the terms: 224 + -840 + 60x + 4x2 = 840 + -840 Combine like terms: 224 + -840 = -616 -616 + 60x + 4x2 = 840 + -840 Combine like terms: 840 + -840 = 0 -616 + 60x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-154 + 15x + x2) = 0 Factor a trinomial. 4((-22 + -1x)(7 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve: Simplifying -22 + -1x = 0 Solving -22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 0 + 22 -1x = 0 + 22 Combine like terms: 0 + 22 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-22, 7}
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