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Simplifying 8x2 = 30x + 43x Combine like terms: 30x + 43x = 73x 8x2 = 73x Solving 8x2 = 73x Solving for variable 'x'. Reorder the terms: -73x + 8x2 = 73x + -73x Combine like terms: 73x + -73x = 0 -73x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-73 + 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 '(-73 + 8x)' equal to zero and attempt to solve: Simplifying -73 + 8x = 0 Solving -73 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 8x = 0 + 73 Combine like terms: -73 + 73 = 0 0 + 8x = 0 + 73 8x = 0 + 73 Combine like terms: 0 + 73 = 73 8x = 73 Divide each side by '8'. x = 9.125 Simplifying x = 9.125Solution
x = {0, 9.125}
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