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Simplifying 0 = (7x + 4)(x + -9) Reorder the terms: 0 = (4 + 7x)(x + -9) Reorder the terms: 0 = (4 + 7x)(-9 + x) Multiply (4 + 7x) * (-9 + x) 0 = (4(-9 + x) + 7x * (-9 + x)) 0 = ((-9 * 4 + x * 4) + 7x * (-9 + x)) 0 = ((-36 + 4x) + 7x * (-9 + x)) 0 = (-36 + 4x + (-9 * 7x + x * 7x)) 0 = (-36 + 4x + (-63x + 7x2)) Combine like terms: 4x + -63x = -59x 0 = (-36 + -59x + 7x2) Solving 0 = -36 + -59x + 7x2 Solving for variable 'x'. Combine like terms: 0 + 36 = 36 36 + 59x + -7x2 = -36 + -59x + 7x2 + 36 + 59x + -7x2 Reorder the terms: 36 + 59x + -7x2 = -36 + 36 + -59x + 59x + 7x2 + -7x2 Combine like terms: -36 + 36 = 0 36 + 59x + -7x2 = 0 + -59x + 59x + 7x2 + -7x2 36 + 59x + -7x2 = -59x + 59x + 7x2 + -7x2 Combine like terms: -59x + 59x = 0 36 + 59x + -7x2 = 0 + 7x2 + -7x2 36 + 59x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 36 + 59x + -7x2 = 0 Factor a trinomial. (9 + -1x)(4 + 7x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 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 = {9, -0.5714285714}
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