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Simplifying 5x2 + -50x = 55 Reorder the terms: -50x + 5x2 = 55 Solving -50x + 5x2 = 55 Solving for variable 'x'. Reorder the terms: -55 + -50x + 5x2 = 55 + -55 Combine like terms: 55 + -55 = 0 -55 + -50x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-11 + -10x + x2) = 0 Factor a trinomial. 5((-1 + -1x)(11 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-1, 11}
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