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Simplifying (5x + -93)(7x + 12) = 0 Reorder the terms: (-93 + 5x)(7x + 12) = 0 Reorder the terms: (-93 + 5x)(12 + 7x) = 0 Multiply (-93 + 5x) * (12 + 7x) (-93(12 + 7x) + 5x * (12 + 7x)) = 0 ((12 * -93 + 7x * -93) + 5x * (12 + 7x)) = 0 ((-1116 + -651x) + 5x * (12 + 7x)) = 0 (-1116 + -651x + (12 * 5x + 7x * 5x)) = 0 (-1116 + -651x + (60x + 35x2)) = 0 Combine like terms: -651x + 60x = -591x (-1116 + -591x + 35x2) = 0 Solving -1116 + -591x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -7x)(93 + -5x) = 0Subproblem 1
Set the factor '(-12 + -7x)' equal to zero and attempt to solve: Simplifying -12 + -7x = 0 Solving -12 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -7x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 0 + 12 -7x = 0 + 12 Combine like terms: 0 + 12 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714Subproblem 2
Set the factor '(93 + -5x)' equal to zero and attempt to solve: Simplifying 93 + -5x = 0 Solving 93 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-93' to each side of the equation. 93 + -93 + -5x = 0 + -93 Combine like terms: 93 + -93 = 0 0 + -5x = 0 + -93 -5x = 0 + -93 Combine like terms: 0 + -93 = -93 -5x = -93 Divide each side by '-5'. x = 18.6 Simplifying x = 18.6Solution
x = {-1.714285714, 18.6}
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