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Simplifying x = 4x + 5(9x + -5) * 5x Reorder the terms: x = 4x + 5(-5 + 9x) * 5x Reorder the terms for easier multiplication: x = 4x + 5 * 5x(-5 + 9x) Multiply 5 * 5 x = 4x + 25x(-5 + 9x) x = 4x + (-5 * 25x + 9x * 25x) x = 4x + (-125x + 225x2) Combine like terms: 4x + -125x = -121x x = -121x + 225x2 Solving x = -121x + 225x2 Solving for variable 'x'. Combine like terms: x + 121x = 122x 122x + -225x2 = -121x + 225x2 + 121x + -225x2 Reorder the terms: 122x + -225x2 = -121x + 121x + 225x2 + -225x2 Combine like terms: -121x + 121x = 0 122x + -225x2 = 0 + 225x2 + -225x2 122x + -225x2 = 225x2 + -225x2 Combine like terms: 225x2 + -225x2 = 0 122x + -225x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(122 + -225x) = 0Subproblem 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 '(122 + -225x)' equal to zero and attempt to solve: Simplifying 122 + -225x = 0 Solving 122 + -225x = 0 Move all terms containing x to the left, all other terms to the right. Add '-122' to each side of the equation. 122 + -122 + -225x = 0 + -122 Combine like terms: 122 + -122 = 0 0 + -225x = 0 + -122 -225x = 0 + -122 Combine like terms: 0 + -122 = -122 -225x = -122 Divide each side by '-225'. x = 0.5422222222 Simplifying x = 0.5422222222Solution
x = {0, 0.5422222222}
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