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Simplifying (-7x + 3)(9x + -7) = 0 Reorder the terms: (3 + -7x)(9x + -7) = 0 Reorder the terms: (3 + -7x)(-7 + 9x) = 0 Multiply (3 + -7x) * (-7 + 9x) (3(-7 + 9x) + -7x * (-7 + 9x)) = 0 ((-7 * 3 + 9x * 3) + -7x * (-7 + 9x)) = 0 ((-21 + 27x) + -7x * (-7 + 9x)) = 0 (-21 + 27x + (-7 * -7x + 9x * -7x)) = 0 (-21 + 27x + (49x + -63x2)) = 0 Combine like terms: 27x + 49x = 76x (-21 + 76x + -63x2) = 0 Solving -21 + 76x + -63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + 9x)(3 + -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 '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {0.7777777778, 0.4285714286}
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