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Simplifying (-7x + 2)(9x + -7) = 0 Reorder the terms: (2 + -7x)(9x + -7) = 0 Reorder the terms: (2 + -7x)(-7 + 9x) = 0 Multiply (2 + -7x) * (-7 + 9x) (2(-7 + 9x) + -7x * (-7 + 9x)) = 0 ((-7 * 2 + 9x * 2) + -7x * (-7 + 9x)) = 0 ((-14 + 18x) + -7x * (-7 + 9x)) = 0 (-14 + 18x + (-7 * -7x + 9x * -7x)) = 0 (-14 + 18x + (49x + -63x2)) = 0 Combine like terms: 18x + 49x = 67x (-14 + 67x + -63x2) = 0 Solving -14 + 67x + -63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + 9x)(2 + -7x) = 0Subproblem 1
Set the factor '(-7 + 9x)' equal to zero and attempt to solve: Simplifying -7 + 9x = 0 Solving -7 + 9x = 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 + 9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 0 + 7 9x = 0 + 7 Combine like terms: 0 + 7 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {0.7777777778, 0.2857142857}
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