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Simplifying (6x + 7)(5x + -9) = 0 Reorder the terms: (7 + 6x)(5x + -9) = 0 Reorder the terms: (7 + 6x)(-9 + 5x) = 0 Multiply (7 + 6x) * (-9 + 5x) (7(-9 + 5x) + 6x * (-9 + 5x)) = 0 ((-9 * 7 + 5x * 7) + 6x * (-9 + 5x)) = 0 ((-63 + 35x) + 6x * (-9 + 5x)) = 0 (-63 + 35x + (-9 * 6x + 5x * 6x)) = 0 (-63 + 35x + (-54x + 30x2)) = 0 Combine like terms: 35x + -54x = -19x (-63 + -19x + 30x2) = 0 Solving -63 + -19x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -6x)(9 + -5x) = 0Subproblem 1
Set the factor '(-7 + -6x)' equal to zero and attempt to solve: Simplifying -7 + -6x = 0 Solving -7 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-1.166666667, 1.8}
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