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Simplifying 4x2 + x = 8x Reorder the terms: x + 4x2 = 8x Solving x + 4x2 = 8x Solving for variable 'x'. Reorder the terms: x + -8x + 4x2 = 8x + -8x Combine like terms: x + -8x = -7x -7x + 4x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -7x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 4x) = 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 + 4x)' equal to zero and attempt to solve: Simplifying -7 + 4x = 0 Solving -7 + 4x = 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 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75Solution
x = {0, 1.75}
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