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Simplifying 0 = (9x + 4)(x + -5) Reorder the terms: 0 = (4 + 9x)(x + -5) Reorder the terms: 0 = (4 + 9x)(-5 + x) Multiply (4 + 9x) * (-5 + x) 0 = (4(-5 + x) + 9x * (-5 + x)) 0 = ((-5 * 4 + x * 4) + 9x * (-5 + x)) 0 = ((-20 + 4x) + 9x * (-5 + x)) 0 = (-20 + 4x + (-5 * 9x + x * 9x)) 0 = (-20 + 4x + (-45x + 9x2)) Combine like terms: 4x + -45x = -41x 0 = (-20 + -41x + 9x2) Solving 0 = -20 + -41x + 9x2 Solving for variable 'x'. Combine like terms: 0 + 20 = 20 20 + 41x + -9x2 = -20 + -41x + 9x2 + 20 + 41x + -9x2 Reorder the terms: 20 + 41x + -9x2 = -20 + 20 + -41x + 41x + 9x2 + -9x2 Combine like terms: -20 + 20 = 0 20 + 41x + -9x2 = 0 + -41x + 41x + 9x2 + -9x2 20 + 41x + -9x2 = -41x + 41x + 9x2 + -9x2 Combine like terms: -41x + 41x = 0 20 + 41x + -9x2 = 0 + 9x2 + -9x2 20 + 41x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 20 + 41x + -9x2 = 0 Factor a trinomial. (5 + -1x)(4 + 9x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
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 = -0.4444444444Solution
x = {5, -0.4444444444}
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