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Simplifying (7x + -10)(9x + 2) = 0 Reorder the terms: (-10 + 7x)(9x + 2) = 0 Reorder the terms: (-10 + 7x)(2 + 9x) = 0 Multiply (-10 + 7x) * (2 + 9x) (-10(2 + 9x) + 7x * (2 + 9x)) = 0 ((2 * -10 + 9x * -10) + 7x * (2 + 9x)) = 0 ((-20 + -90x) + 7x * (2 + 9x)) = 0 (-20 + -90x + (2 * 7x + 9x * 7x)) = 0 (-20 + -90x + (14x + 63x2)) = 0 Combine like terms: -90x + 14x = -76x (-20 + -76x + 63x2) = 0 Solving -20 + -76x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -9x)(10 + -7x) = 0Subproblem 1
Set the factor '(-2 + -9x)' equal to zero and attempt to solve: Simplifying -2 + -9x = 0 Solving -2 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -9x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 0 + 2 -9x = 0 + 2 Combine like terms: 0 + 2 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222Subproblem 2
Set the factor '(10 + -7x)' equal to zero and attempt to solve: Simplifying 10 + -7x = 0 Solving 10 + -7x = 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 + -7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 0 + -10 -7x = 0 + -10 Combine like terms: 0 + -10 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429Solution
x = {-0.2222222222, 1.428571429}
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