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Simplifying (10x + -9)(6x + 7) = 0 Reorder the terms: (-9 + 10x)(6x + 7) = 0 Reorder the terms: (-9 + 10x)(7 + 6x) = 0 Multiply (-9 + 10x) * (7 + 6x) (-9(7 + 6x) + 10x * (7 + 6x)) = 0 ((7 * -9 + 6x * -9) + 10x * (7 + 6x)) = 0 ((-63 + -54x) + 10x * (7 + 6x)) = 0 (-63 + -54x + (7 * 10x + 6x * 10x)) = 0 (-63 + -54x + (70x + 60x2)) = 0 Combine like terms: -54x + 70x = 16x (-63 + 16x + 60x2) = 0 Solving -63 + 16x + 60x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -6x)(9 + -10x) = 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 + -10x)' equal to zero and attempt to solve: Simplifying 9 + -10x = 0 Solving 9 + -10x = 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 + -10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = 0 + -9 -10x = 0 + -9 Combine like terms: 0 + -9 = -9 -10x = -9 Divide each side by '-10'. x = 0.9 Simplifying x = 0.9Solution
x = {-1.166666667, 0.9}
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