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Simplifying (9x + -1)(7x + 4) = 0 Reorder the terms: (-1 + 9x)(7x + 4) = 0 Reorder the terms: (-1 + 9x)(4 + 7x) = 0 Multiply (-1 + 9x) * (4 + 7x) (-1(4 + 7x) + 9x * (4 + 7x)) = 0 ((4 * -1 + 7x * -1) + 9x * (4 + 7x)) = 0 ((-4 + -7x) + 9x * (4 + 7x)) = 0 (-4 + -7x + (4 * 9x + 7x * 9x)) = 0 (-4 + -7x + (36x + 63x2)) = 0 Combine like terms: -7x + 36x = 29x (-4 + 29x + 63x2) = 0 Solving -4 + 29x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(1 + -9x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
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 = 0.1111111111Solution
x = {-0.5714285714, 0.1111111111}
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