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Simplifying (4 + -9x)(2 + 5x) = 0 Multiply (4 + -9x) * (2 + 5x) (4(2 + 5x) + -9x * (2 + 5x)) = 0 ((2 * 4 + 5x * 4) + -9x * (2 + 5x)) = 0 ((8 + 20x) + -9x * (2 + 5x)) = 0 (8 + 20x + (2 * -9x + 5x * -9x)) = 0 (8 + 20x + (-18x + -45x2)) = 0 Combine like terms: 20x + -18x = 2x (8 + 2x + -45x2) = 0 Solving 8 + 2x + -45x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -9x)(2 + 5x) = 0Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 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 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {0.4444444444, -0.4}
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