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Simplifying (-7x + 3)(6x + -5) = 0 Reorder the terms: (3 + -7x)(6x + -5) = 0 Reorder the terms: (3 + -7x)(-5 + 6x) = 0 Multiply (3 + -7x) * (-5 + 6x) (3(-5 + 6x) + -7x * (-5 + 6x)) = 0 ((-5 * 3 + 6x * 3) + -7x * (-5 + 6x)) = 0 ((-15 + 18x) + -7x * (-5 + 6x)) = 0 (-15 + 18x + (-5 * -7x + 6x * -7x)) = 0 (-15 + 18x + (35x + -42x2)) = 0 Combine like terms: 18x + 35x = 53x (-15 + 53x + -42x2) = 0 Solving -15 + 53x + -42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + 6x)(3 + -7x) = 0Subproblem 1
Set the factor '(-5 + 6x)' equal to zero and attempt to solve: Simplifying -5 + 6x = 0 Solving -5 + 6x = 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 + 6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 0 + 5 6x = 0 + 5 Combine like terms: 0 + 5 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {0.8333333333, 0.4285714286}
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