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Simplifying (3x + 4)(7x + -9) = 0 Reorder the terms: (4 + 3x)(7x + -9) = 0 Reorder the terms: (4 + 3x)(-9 + 7x) = 0 Multiply (4 + 3x) * (-9 + 7x) (4(-9 + 7x) + 3x * (-9 + 7x)) = 0 ((-9 * 4 + 7x * 4) + 3x * (-9 + 7x)) = 0 ((-36 + 28x) + 3x * (-9 + 7x)) = 0 (-36 + 28x + (-9 * 3x + 7x * 3x)) = 0 (-36 + 28x + (-27x + 21x2)) = 0 Combine like terms: 28x + -27x = 1x (-36 + 1x + 21x2) = 0 Solving -36 + 1x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(9 + -7x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, 1.285714286}
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