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Simplifying -29x2 + 1015x + 21750 = 0 Reorder the terms: 21750 + 1015x + -29x2 = 0 Solving 21750 + 1015x + -29x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '29'. 29(750 + 35x + -1x2) = 0 Factor a trinomial. 29((50 + -1x)(15 + x)) = 0 Ignore the factor 29.Subproblem 1
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {50, -15}
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