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Simplifying 6x2 = 55x Solving 6x2 = 55x Solving for variable 'x'. Reorder the terms: -55x + 6x2 = 55x + -55x Combine like terms: 55x + -55x = 0 -55x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-55 + 6x) = 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 '(-55 + 6x)' equal to zero and attempt to solve: Simplifying -55 + 6x = 0 Solving -55 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 6x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 6x = 0 + 55 6x = 0 + 55 Combine like terms: 0 + 55 = 55 6x = 55 Divide each side by '6'. x = 9.166666667 Simplifying x = 9.166666667Solution
x = {0, 9.166666667}
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