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Simplifying (5x + -7)(9x + 1) = 0 Reorder the terms: (-7 + 5x)(9x + 1) = 0 Reorder the terms: (-7 + 5x)(1 + 9x) = 0 Multiply (-7 + 5x) * (1 + 9x) (-7(1 + 9x) + 5x * (1 + 9x)) = 0 ((1 * -7 + 9x * -7) + 5x * (1 + 9x)) = 0 ((-7 + -63x) + 5x * (1 + 9x)) = 0 (-7 + -63x + (1 * 5x + 9x * 5x)) = 0 (-7 + -63x + (5x + 45x2)) = 0 Combine like terms: -63x + 5x = -58x (-7 + -58x + 45x2) = 0 Solving -7 + -58x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -9x)(7 + -5x) = 0Subproblem 1
Set the factor '(-1 + -9x)' equal to zero and attempt to solve: Simplifying -1 + -9x = 0 Solving -1 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 0 + 1 -9x = 0 + 1 Combine like terms: 0 + 1 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-0.1111111111, 1.4}
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