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Simplifying 2x * 5x + -1x = 5x + -3x Reorder the terms for easier multiplication: 2 * 5x * x + -1x = 5x + -3x Multiply 2 * 5 10x * x + -1x = 5x + -3x Multiply x * x 10x2 + -1x = 5x + -3x Reorder the terms: -1x + 10x2 = 5x + -3x Combine like terms: 5x + -3x = 2x -1x + 10x2 = 2x Solving -1x + 10x2 = 2x Solving for variable 'x'. Reorder the terms: -1x + -2x + 10x2 = 2x + -2x Combine like terms: -1x + -2x = -3x -3x + 10x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -3x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 10x) = 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 '(-3 + 10x)' equal to zero and attempt to solve: Simplifying -3 + 10x = 0 Solving -3 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 0 + 3 10x = 0 + 3 Combine like terms: 0 + 3 = 3 10x = 3 Divide each side by '10'. x = 0.3 Simplifying x = 0.3Solution
x = {0, 0.3}
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