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Simplifying (5x + -6)(5x + -6) = 0 Reorder the terms: (-6 + 5x)(5x + -6) = 0 Reorder the terms: (-6 + 5x)(-6 + 5x) = 0 Multiply (-6 + 5x) * (-6 + 5x) (-6(-6 + 5x) + 5x * (-6 + 5x)) = 0 ((-6 * -6 + 5x * -6) + 5x * (-6 + 5x)) = 0 ((36 + -30x) + 5x * (-6 + 5x)) = 0 (36 + -30x + (-6 * 5x + 5x * 5x)) = 0 (36 + -30x + (-30x + 25x2)) = 0 Combine like terms: -30x + -30x = -60x (36 + -60x + 25x2) = 0 Solving 36 + -60x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -5x)(6 + -5x) = 0Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {1.2, 1.2}
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