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Simplifying (5x + 3)(7x + -9) = 0 Reorder the terms: (3 + 5x)(7x + -9) = 0 Reorder the terms: (3 + 5x)(-9 + 7x) = 0 Multiply (3 + 5x) * (-9 + 7x) (3(-9 + 7x) + 5x * (-9 + 7x)) = 0 ((-9 * 3 + 7x * 3) + 5x * (-9 + 7x)) = 0 ((-27 + 21x) + 5x * (-9 + 7x)) = 0 (-27 + 21x + (-9 * 5x + 7x * 5x)) = 0 (-27 + 21x + (-45x + 35x2)) = 0 Combine like terms: 21x + -45x = -24x (-27 + -24x + 35x2) = 0 Solving -27 + -24x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x)(9 + -7x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 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 = {-0.6, 1.285714286}
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