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Simplifying 1x + x * 2x = 3x + 7x Reorder the terms for easier multiplication: 1x + 2x * x = 3x + 7x Multiply x * x 1x + 2x2 = 3x + 7x Combine like terms: 3x + 7x = 10x 1x + 2x2 = 10x Solving 1x + 2x2 = 10x Solving for variable 'x'. Reorder the terms: 1x + -10x + 2x2 = 10x + -10x Combine like terms: 1x + -10x = -9x -9x + 2x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -9x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 2x) = 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 '(-9 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5Solution
x = {0, 4.5}
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