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Simplifying (3x + 2)(5x + -2) = 0 Reorder the terms: (2 + 3x)(5x + -2) = 0 Reorder the terms: (2 + 3x)(-2 + 5x) = 0 Multiply (2 + 3x) * (-2 + 5x) (2(-2 + 5x) + 3x * (-2 + 5x)) = 0 ((-2 * 2 + 5x * 2) + 3x * (-2 + 5x)) = 0 ((-4 + 10x) + 3x * (-2 + 5x)) = 0 (-4 + 10x + (-2 * 3x + 5x * 3x)) = 0 (-4 + 10x + (-6x + 15x2)) = 0 Combine like terms: 10x + -6x = 4x (-4 + 4x + 15x2) = 0 Solving -4 + 4x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -3x)(2 + -5x) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
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 = 0.4Solution
x = {-0.6666666667, 0.4}
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