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Simplifying (5x + -6)(7x + 15) = 0 Reorder the terms: (-6 + 5x)(7x + 15) = 0 Reorder the terms: (-6 + 5x)(15 + 7x) = 0 Multiply (-6 + 5x) * (15 + 7x) (-6(15 + 7x) + 5x * (15 + 7x)) = 0 ((15 * -6 + 7x * -6) + 5x * (15 + 7x)) = 0 ((-90 + -42x) + 5x * (15 + 7x)) = 0 (-90 + -42x + (15 * 5x + 7x * 5x)) = 0 (-90 + -42x + (75x + 35x2)) = 0 Combine like terms: -42x + 75x = 33x (-90 + 33x + 35x2) = 0 Solving -90 + 33x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -7x)(6 + -5x) = 0Subproblem 1
Set the factor '(-15 + -7x)' equal to zero and attempt to solve: Simplifying -15 + -7x = 0 Solving -15 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 0 + 15 -7x = 0 + 15 Combine like terms: 0 + 15 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143Subproblem 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 = {-2.142857143, 1.2}
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