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Simplifying (5x + 2)(3x + -5) = 0 Reorder the terms: (2 + 5x)(3x + -5) = 0 Reorder the terms: (2 + 5x)(-5 + 3x) = 0 Multiply (2 + 5x) * (-5 + 3x) (2(-5 + 3x) + 5x * (-5 + 3x)) = 0 ((-5 * 2 + 3x * 2) + 5x * (-5 + 3x)) = 0 ((-10 + 6x) + 5x * (-5 + 3x)) = 0 (-10 + 6x + (-5 * 5x + 3x * 5x)) = 0 (-10 + 6x + (-25x + 15x2)) = 0 Combine like terms: 6x + -25x = -19x (-10 + -19x + 15x2) = 0 Solving -10 + -19x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -5x)(5 + -3x) = 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 '(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 = {-0.4, 1.666666667}
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