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Simplifying 61x = 10x2 Solving 61x = 10x2 Solving for variable 'x'. Combine like terms: 10x2 + -10x2 = 0 61x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(61 + -10x) = 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 '(61 + -10x)' equal to zero and attempt to solve: Simplifying 61 + -10x = 0 Solving 61 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -10x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -10x = 0 + -61 -10x = 0 + -61 Combine like terms: 0 + -61 = -61 -10x = -61 Divide each side by '-10'. x = 6.1 Simplifying x = 6.1Solution
x = {0, 6.1}
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