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Simplifying (4x + 7)(7x + -9) = 0 Reorder the terms: (7 + 4x)(7x + -9) = 0 Reorder the terms: (7 + 4x)(-9 + 7x) = 0 Multiply (7 + 4x) * (-9 + 7x) (7(-9 + 7x) + 4x * (-9 + 7x)) = 0 ((-9 * 7 + 7x * 7) + 4x * (-9 + 7x)) = 0 ((-63 + 49x) + 4x * (-9 + 7x)) = 0 (-63 + 49x + (-9 * 4x + 7x * 4x)) = 0 (-63 + 49x + (-36x + 28x2)) = 0 Combine like terms: 49x + -36x = 13x (-63 + 13x + 28x2) = 0 Solving -63 + 13x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -4x)(9 + -7x) = 0Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75Subproblem 2
Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 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 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {-1.75, 1.285714286}
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