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Simplifying (7x + 9)(5x + -6) = 0 Reorder the terms: (9 + 7x)(5x + -6) = 0 Reorder the terms: (9 + 7x)(-6 + 5x) = 0 Multiply (9 + 7x) * (-6 + 5x) (9(-6 + 5x) + 7x * (-6 + 5x)) = 0 ((-6 * 9 + 5x * 9) + 7x * (-6 + 5x)) = 0 ((-54 + 45x) + 7x * (-6 + 5x)) = 0 (-54 + 45x + (-6 * 7x + 5x * 7x)) = 0 (-54 + 45x + (-42x + 35x2)) = 0 Combine like terms: 45x + -42x = 3x (-54 + 3x + 35x2) = 0 Solving -54 + 3x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -7x)(6 + -5x) = 0Subproblem 1
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 = -1.285714286Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-1.285714286, 1.2}
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