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Simplifying (4x + -9)(7x + 4) = 0 Reorder the terms: (-9 + 4x)(7x + 4) = 0 Reorder the terms: (-9 + 4x)(4 + 7x) = 0 Multiply (-9 + 4x) * (4 + 7x) (-9(4 + 7x) + 4x * (4 + 7x)) = 0 ((4 * -9 + 7x * -9) + 4x * (4 + 7x)) = 0 ((-36 + -63x) + 4x * (4 + 7x)) = 0 (-36 + -63x + (4 * 4x + 7x * 4x)) = 0 (-36 + -63x + (16x + 28x2)) = 0 Combine like terms: -63x + 16x = -47x (-36 + -47x + 28x2) = 0 Solving -36 + -47x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(9 + -4x) = 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 '(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 = 2.25Solution
x = {-0.5714285714, 2.25}
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