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Simplifying 25x2 + 60x + 40 = 8 Reorder the terms: 40 + 60x + 25x2 = 8 Solving 40 + 60x + 25x2 = 8 Solving for variable 'x'. Reorder the terms: 40 + -8 + 60x + 25x2 = 8 + -8 Combine like terms: 40 + -8 = 32 32 + 60x + 25x2 = 8 + -8 Combine like terms: 8 + -8 = 0 32 + 60x + 25x2 = 0 Factor a trinomial. (8 + 5x)(4 + 5x) = 0Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Subproblem 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 = {-1.6, -0.8}
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