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Simplifying (7x + -4)(9x + 1) = 0 Reorder the terms: (-4 + 7x)(9x + 1) = 0 Reorder the terms: (-4 + 7x)(1 + 9x) = 0 Multiply (-4 + 7x) * (1 + 9x) (-4(1 + 9x) + 7x * (1 + 9x)) = 0 ((1 * -4 + 9x * -4) + 7x * (1 + 9x)) = 0 ((-4 + -36x) + 7x * (1 + 9x)) = 0 (-4 + -36x + (1 * 7x + 9x * 7x)) = 0 (-4 + -36x + (7x + 63x2)) = 0 Combine like terms: -36x + 7x = -29x (-4 + -29x + 63x2) = 0 Solving -4 + -29x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -9x)(4 + -7x) = 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 '(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 = 0.5714285714Solution
x = {-0.1111111111, 0.5714285714}
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