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Simplifying (5x + -3)(5x + -3) = 0 Reorder the terms: (-3 + 5x)(5x + -3) = 0 Reorder the terms: (-3 + 5x)(-3 + 5x) = 0 Multiply (-3 + 5x) * (-3 + 5x) (-3(-3 + 5x) + 5x * (-3 + 5x)) = 0 ((-3 * -3 + 5x * -3) + 5x * (-3 + 5x)) = 0 ((9 + -15x) + 5x * (-3 + 5x)) = 0 (9 + -15x + (-3 * 5x + 5x * 5x)) = 0 (9 + -15x + (-15x + 25x2)) = 0 Combine like terms: -15x + -15x = -30x (9 + -30x + 25x2) = 0 Solving 9 + -30x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(3 + -5x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {0.6, 0.6}
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