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Simplifying 5x2 + 55x = 210 Reorder the terms: 55x + 5x2 = 210 Solving 55x + 5x2 = 210 Solving for variable 'x'. Reorder the terms: -210 + 55x + 5x2 = 210 + -210 Combine like terms: 210 + -210 = 0 -210 + 55x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-42 + 11x + x2) = 0 Factor a trinomial. 5((-14 + -1x)(3 + -1x)) = 0 Ignore the factor 5.Subproblem 1
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 = -14Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-14, 3}
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