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Simplifying (5x + 2)(7x + -6) = 0 Reorder the terms: (2 + 5x)(7x + -6) = 0 Reorder the terms: (2 + 5x)(-6 + 7x) = 0 Multiply (2 + 5x) * (-6 + 7x) (2(-6 + 7x) + 5x * (-6 + 7x)) = 0 ((-6 * 2 + 7x * 2) + 5x * (-6 + 7x)) = 0 ((-12 + 14x) + 5x * (-6 + 7x)) = 0 (-12 + 14x + (-6 * 5x + 7x * 5x)) = 0 (-12 + 14x + (-30x + 35x2)) = 0 Combine like terms: 14x + -30x = -16x (-12 + -16x + 35x2) = 0 Solving -12 + -16x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -5x)(6 + -7x) = 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 '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {-0.4, 0.8571428571}
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