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Simplifying (-7x + 6)(5x + -2) = 0 Reorder the terms: (6 + -7x)(5x + -2) = 0 Reorder the terms: (6 + -7x)(-2 + 5x) = 0 Multiply (6 + -7x) * (-2 + 5x) (6(-2 + 5x) + -7x * (-2 + 5x)) = 0 ((-2 * 6 + 5x * 6) + -7x * (-2 + 5x)) = 0 ((-12 + 30x) + -7x * (-2 + 5x)) = 0 (-12 + 30x + (-2 * -7x + 5x * -7x)) = 0 (-12 + 30x + (14x + -35x2)) = 0 Combine like terms: 30x + 14x = 44x (-12 + 44x + -35x2) = 0 Solving -12 + 44x + -35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + 7x)(2 + -5x) = 0Subproblem 1
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 = 0.8571428571Subproblem 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 = {0.8571428571, 0.4}
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