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Simplifying 144x2 + -675x + -225 = 0 Reorder the terms: -225 + -675x + 144x2 = 0 Solving -225 + -675x + 144x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(-25 + -75x + 16x2) = 0 Factor a trinomial. 9((-5 + -16x)(5 + -1x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-5 + -16x)' equal to zero and attempt to solve: Simplifying -5 + -16x = 0 Solving -5 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -16x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -16x = 0 + 5 -16x = 0 + 5 Combine like terms: 0 + 5 = 5 -16x = 5 Divide each side by '-16'. x = -0.3125 Simplifying x = -0.3125Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-0.3125, 5}
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