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Simplifying -225 = 324x2 + 540x Reorder the terms: -225 = 540x + 324x2 Solving -225 = 540x + 324x2 Solving for variable 'x'. Reorder the terms: -225 + -540x + -324x2 = 540x + -540x + 324x2 + -324x2 Combine like terms: 540x + -540x = 0 -225 + -540x + -324x2 = 0 + 324x2 + -324x2 -225 + -540x + -324x2 = 324x2 + -324x2 Combine like terms: 324x2 + -324x2 = 0 -225 + -540x + -324x2 = 0 Factor out the Greatest Common Factor (GCF), '-9'. -9(25 + 60x + 36x2) = 0 Factor a trinomial. -9((5 + 6x)(5 + 6x)) = 0 Ignore the factor -9.Subproblem 1
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {-0.8333333333, -0.8333333333}
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