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Simplifying -40x + -25x2 = 16 Solving -40x + -25x2 = 16 Solving for variable 'x'. Reorder the terms: -16 + -40x + -25x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -40x + -25x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 40x + 25x2) = 0 Factor a trinomial. -1((4 + 5x)(4 + 5x)) = 0 Ignore the factor -1.Subproblem 1
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 = -0.8Subproblem 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 = {-0.8, -0.8}
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