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Simplifying (5x + 3)(3x + -5) = 0 Reorder the terms: (3 + 5x)(3x + -5) = 0 Reorder the terms: (3 + 5x)(-5 + 3x) = 0 Multiply (3 + 5x) * (-5 + 3x) (3(-5 + 3x) + 5x * (-5 + 3x)) = 0 ((-5 * 3 + 3x * 3) + 5x * (-5 + 3x)) = 0 ((-15 + 9x) + 5x * (-5 + 3x)) = 0 (-15 + 9x + (-5 * 5x + 3x * 5x)) = 0 (-15 + 9x + (-25x + 15x2)) = 0 Combine like terms: 9x + -25x = -16x (-15 + -16x + 15x2) = 0 Solving -15 + -16x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x)(5 + -3x) = 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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-0.6, 1.666666667}
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