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Simplifying (6x + -4)(5x + 3) = 0 Reorder the terms: (-4 + 6x)(5x + 3) = 0 Reorder the terms: (-4 + 6x)(3 + 5x) = 0 Multiply (-4 + 6x) * (3 + 5x) (-4(3 + 5x) + 6x * (3 + 5x)) = 0 ((3 * -4 + 5x * -4) + 6x * (3 + 5x)) = 0 ((-12 + -20x) + 6x * (3 + 5x)) = 0 (-12 + -20x + (3 * 6x + 5x * 6x)) = 0 (-12 + -20x + (18x + 30x2)) = 0 Combine like terms: -20x + 18x = -2x (-12 + -2x + 30x2) = 0 Solving -12 + -2x + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -1x + 15x2) = 0 Factor a trinomial. 2((-3 + -5x)(2 + -3x)) = 0 Ignore the factor 2.Subproblem 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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-0.6, 0.6666666667}
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