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Simplifying (9x + -2)(7x + -4) = 0 Reorder the terms: (-2 + 9x)(7x + -4) = 0 Reorder the terms: (-2 + 9x)(-4 + 7x) = 0 Multiply (-2 + 9x) * (-4 + 7x) (-2(-4 + 7x) + 9x * (-4 + 7x)) = 0 ((-4 * -2 + 7x * -2) + 9x * (-4 + 7x)) = 0 ((8 + -14x) + 9x * (-4 + 7x)) = 0 (8 + -14x + (-4 * 9x + 7x * 9x)) = 0 (8 + -14x + (-36x + 63x2)) = 0 Combine like terms: -14x + -36x = -50x (8 + -50x + 63x2) = 0 Solving 8 + -50x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -9x)(4 + -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 '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {0.2222222222, 0.5714285714}
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