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Simplifying (7x + 15)(6x + -7) = 0 Reorder the terms: (15 + 7x)(6x + -7) = 0 Reorder the terms: (15 + 7x)(-7 + 6x) = 0 Multiply (15 + 7x) * (-7 + 6x) (15(-7 + 6x) + 7x * (-7 + 6x)) = 0 ((-7 * 15 + 6x * 15) + 7x * (-7 + 6x)) = 0 ((-105 + 90x) + 7x * (-7 + 6x)) = 0 (-105 + 90x + (-7 * 7x + 6x * 7x)) = 0 (-105 + 90x + (-49x + 42x2)) = 0 Combine like terms: 90x + -49x = 41x (-105 + 41x + 42x2) = 0 Solving -105 + 41x + 42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -7x)(7 + -6x) = 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 '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {-2.142857143, 1.166666667}
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