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Simplifying 8x2 + 3x = 10x Reorder the terms: 3x + 8x2 = 10x Solving 3x + 8x2 = 10x Solving for variable 'x'. Reorder the terms: 3x + -10x + 8x2 = 10x + -10x Combine like terms: 3x + -10x = -7x -7x + 8x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -7x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 8x) = 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 '(-7 + 8x)' equal to zero and attempt to solve: Simplifying -7 + 8x = 0 Solving -7 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 0 + 7 8x = 0 + 7 Combine like terms: 0 + 7 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875Solution
x = {0, 0.875}
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