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Simplifying (7x + -1)(4x + 9) = 0 Reorder the terms: (-1 + 7x)(4x + 9) = 0 Reorder the terms: (-1 + 7x)(9 + 4x) = 0 Multiply (-1 + 7x) * (9 + 4x) (-1(9 + 4x) + 7x * (9 + 4x)) = 0 ((9 * -1 + 4x * -1) + 7x * (9 + 4x)) = 0 ((-9 + -4x) + 7x * (9 + 4x)) = 0 (-9 + -4x + (9 * 7x + 4x * 7x)) = 0 (-9 + -4x + (63x + 28x2)) = 0 Combine like terms: -4x + 63x = 59x (-9 + 59x + 28x2) = 0 Solving -9 + 59x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -4x)(1 + -7x) = 0Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 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 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25Subproblem 2
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {-2.25, 0.1428571429}
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