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Simplifying 25x2 + 81x + 64 = x Reorder the terms: 64 + 81x + 25x2 = x Solving 64 + 81x + 25x2 = x Solving for variable 'x'. Reorder the terms: 64 + 81x + -1x + 25x2 = x + -1x Combine like terms: 81x + -1x = 80x 64 + 80x + 25x2 = x + -1x Combine like terms: x + -1x = 0 64 + 80x + 25x2 = 0 Factor a trinomial. (8 + 5x)(8 + 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 '(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 = -1.6Solution
x = {-1.6, -1.6}
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