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Simplifying 7x2 = 12x Solving 7x2 = 12x Solving for variable 'x'. Reorder the terms: -12x + 7x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -12x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 7x) = 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 '(-12 + 7x)' equal to zero and attempt to solve: Simplifying -12 + 7x = 0 Solving -12 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 0 + 12 7x = 0 + 12 Combine like terms: 0 + 12 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714Solution
x = {0, 1.714285714}
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