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Simplifying x = (4x)(4x) + -25x Remove parenthesis around (4x) x = 4x(4x) + -25x Remove parenthesis around (4x) x = 4x * 4x + -25x Reorder the terms for easier multiplication: x = 4 * 4x * x + -25x Multiply 4 * 4 x = 16x * x + -25x Multiply x * x x = 16x2 + -25x Reorder the terms: x = -25x + 16x2 Solving x = -25x + 16x2 Solving for variable 'x'. Combine like terms: x + 25x = 26x 26x + -16x2 = -25x + 16x2 + 25x + -16x2 Reorder the terms: 26x + -16x2 = -25x + 25x + 16x2 + -16x2 Combine like terms: -25x + 25x = 0 26x + -16x2 = 0 + 16x2 + -16x2 26x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 26x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(13 + -8x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(13 + -8x)' equal to zero and attempt to solve: Simplifying 13 + -8x = 0 Solving 13 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 0 + -13 -8x = 0 + -13 Combine like terms: 0 + -13 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625Solution
x = {0, 1.625}
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