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Simplifying 9x3 = 7x2 Solving 9x3 = 7x2 Solving for variable 'x'. Reorder the terms: -7x2 + 9x3 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -7x2 + 9x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-7 + 9x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-7 + 9x)' equal to zero and attempt to solve: Simplifying -7 + 9x = 0 Solving -7 + 9x = 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 + 9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 0 + 7 9x = 0 + 7 Combine like terms: 0 + 7 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {0, 0.7777777778}
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