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Simplifying 5x2 = -9x + -4 Reorder the terms: 5x2 = -4 + -9x Solving 5x2 = -4 + -9x Solving for variable 'x'. Reorder the terms: 4 + 9x + 5x2 = -4 + -9x + 4 + 9x Reorder the terms: 4 + 9x + 5x2 = -4 + 4 + -9x + 9x Combine like terms: -4 + 4 = 0 4 + 9x + 5x2 = 0 + -9x + 9x 4 + 9x + 5x2 = -9x + 9x Combine like terms: -9x + 9x = 0 4 + 9x + 5x2 = 0 Factor a trinomial. (1 + x)(4 + 5x) = 0Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-1, -0.8}
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