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Simplifying (225x2) + 5850x + 37125 = 0 Reorder the terms: 37125 + 5850x + (225x2) = 0 Solving 37125 + 5850x + (225x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '225'. 225(165 + 26x + x2) = 0 Factor a trinomial. 225((15 + x)(11 + x)) = 0 Ignore the factor 225.Subproblem 1
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 = -15Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {-15, -11}
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