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Simplifying 5x2 + -4x + 1 = 1 + 2x Reorder the terms: 1 + -4x + 5x2 = 1 + 2x Add '-1' to each side of the equation. 1 + -4x + -1 + 5x2 = 1 + -1 + 2x Reorder the terms: 1 + -1 + -4x + 5x2 = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + -4x + 5x2 = 1 + -1 + 2x -4x + 5x2 = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 -4x + 5x2 = 0 + 2x -4x + 5x2 = 2x Solving -4x + 5x2 = 2x Solving for variable 'x'. Reorder the terms: -4x + -2x + 5x2 = 2x + -2x Combine like terms: -4x + -2x = -6x -6x + 5x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -6x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 5x) = 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 '(-6 + 5x)' equal to zero and attempt to solve: Simplifying -6 + 5x = 0 Solving -6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 0 + 6 5x = 0 + 6 Combine like terms: 0 + 6 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2Solution
x = {0, 1.2}
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