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Simplifying (9x + -2)(-3x + -2) = 0 Reorder the terms: (-2 + 9x)(-3x + -2) = 0 Reorder the terms: (-2 + 9x)(-2 + -3x) = 0 Multiply (-2 + 9x) * (-2 + -3x) (-2(-2 + -3x) + 9x * (-2 + -3x)) = 0 ((-2 * -2 + -3x * -2) + 9x * (-2 + -3x)) = 0 ((4 + 6x) + 9x * (-2 + -3x)) = 0 (4 + 6x + (-2 * 9x + -3x * 9x)) = 0 (4 + 6x + (-18x + -27x2)) = 0 Combine like terms: 6x + -18x = -12x (4 + -12x + -27x2) = 0 Solving 4 + -12x + -27x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -9x)(2 + 3x) = 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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {0.2222222222, -0.6666666667}
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