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Simplifying (5x + -2)(5x + -6) = 0 Reorder the terms: (-2 + 5x)(5x + -6) = 0 Reorder the terms: (-2 + 5x)(-6 + 5x) = 0 Multiply (-2 + 5x) * (-6 + 5x) (-2(-6 + 5x) + 5x * (-6 + 5x)) = 0 ((-6 * -2 + 5x * -2) + 5x * (-6 + 5x)) = 0 ((12 + -10x) + 5x * (-6 + 5x)) = 0 (12 + -10x + (-6 * 5x + 5x * 5x)) = 0 (12 + -10x + (-30x + 25x2)) = 0 Combine like terms: -10x + -30x = -40x (12 + -40x + 25x2) = 0 Solving 12 + -40x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(6 + -5x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 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 = {0.4, 1.2}
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