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Simplifying 5x2 = -24x + -16 Reorder the terms: 5x2 = -16 + -24x Solving 5x2 = -16 + -24x Solving for variable 'x'. Reorder the terms: 16 + 24x + 5x2 = -16 + -24x + 16 + 24x Reorder the terms: 16 + 24x + 5x2 = -16 + 16 + -24x + 24x Combine like terms: -16 + 16 = 0 16 + 24x + 5x2 = 0 + -24x + 24x 16 + 24x + 5x2 = -24x + 24x Combine like terms: -24x + 24x = 0 16 + 24x + 5x2 = 0 Factor a trinomial. (4 + x)(4 + 5x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 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 = {-4, -0.8}
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