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Simplifying (6x + 7)(9x + -10) = 0 Reorder the terms: (7 + 6x)(9x + -10) = 0 Reorder the terms: (7 + 6x)(-10 + 9x) = 0 Multiply (7 + 6x) * (-10 + 9x) (7(-10 + 9x) + 6x * (-10 + 9x)) = 0 ((-10 * 7 + 9x * 7) + 6x * (-10 + 9x)) = 0 ((-70 + 63x) + 6x * (-10 + 9x)) = 0 (-70 + 63x + (-10 * 6x + 9x * 6x)) = 0 (-70 + 63x + (-60x + 54x2)) = 0 Combine like terms: 63x + -60x = 3x (-70 + 3x + 54x2) = 0 Solving -70 + 3x + 54x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -6x)(10 + -9x) = 0Subproblem 1
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 = -1.166666667Subproblem 2
Set the factor '(10 + -9x)' equal to zero and attempt to solve: Simplifying 10 + -9x = 0 Solving 10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 0 + -10 -9x = 0 + -10 Combine like terms: 0 + -10 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111Solution
x = {-1.166666667, 1.111111111}
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