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Simplifying 9x + 4 = (x + -5)(9x + 4) Reorder the terms: 4 + 9x = (x + -5)(9x + 4) Reorder the terms: 4 + 9x = (-5 + x)(9x + 4) Reorder the terms: 4 + 9x = (-5 + x)(4 + 9x) Multiply (-5 + x) * (4 + 9x) 4 + 9x = (-5(4 + 9x) + x(4 + 9x)) 4 + 9x = ((4 * -5 + 9x * -5) + x(4 + 9x)) 4 + 9x = ((-20 + -45x) + x(4 + 9x)) 4 + 9x = (-20 + -45x + (4 * x + 9x * x)) 4 + 9x = (-20 + -45x + (4x + 9x2)) Combine like terms: -45x + 4x = -41x 4 + 9x = (-20 + -41x + 9x2) Solving 4 + 9x = -20 + -41x + 9x2 Solving for variable 'x'. Reorder the terms: 4 + 20 + 9x + 41x + -9x2 = -20 + -41x + 9x2 + 20 + 41x + -9x2 Combine like terms: 4 + 20 = 24 24 + 9x + 41x + -9x2 = -20 + -41x + 9x2 + 20 + 41x + -9x2 Combine like terms: 9x + 41x = 50x 24 + 50x + -9x2 = -20 + -41x + 9x2 + 20 + 41x + -9x2 Reorder the terms: 24 + 50x + -9x2 = -20 + 20 + -41x + 41x + 9x2 + -9x2 Combine like terms: -20 + 20 = 0 24 + 50x + -9x2 = 0 + -41x + 41x + 9x2 + -9x2 24 + 50x + -9x2 = -41x + 41x + 9x2 + -9x2 Combine like terms: -41x + 41x = 0 24 + 50x + -9x2 = 0 + 9x2 + -9x2 24 + 50x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 24 + 50x + -9x2 = 0 Factor a trinomial. (6 + -1x)(4 + 9x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 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 = {6, -0.4444444444}
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