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Simplifying (9x + -2)(-4x + -3) = 0 Reorder the terms: (-2 + 9x)(-4x + -3) = 0 Reorder the terms: (-2 + 9x)(-3 + -4x) = 0 Multiply (-2 + 9x) * (-3 + -4x) (-2(-3 + -4x) + 9x * (-3 + -4x)) = 0 ((-3 * -2 + -4x * -2) + 9x * (-3 + -4x)) = 0 ((6 + 8x) + 9x * (-3 + -4x)) = 0 (6 + 8x + (-3 * 9x + -4x * 9x)) = 0 (6 + 8x + (-27x + -36x2)) = 0 Combine like terms: 8x + -27x = -19x (6 + -19x + -36x2) = 0 Solving 6 + -19x + -36x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -9x)(3 + 4x) = 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 '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {0.2222222222, -0.75}
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