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Simplifying (9x2) + (12x2) + -45x = 0 Reorder the terms: -45x + (9x2) + (12x2) = 0 Combine like terms: (9x2) + (12x2) = 21x2 -45x + 21x2 = 0 Solving -45x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-15 + 7x) = 0 Ignore the factor 3.Subproblem 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 '(-15 + 7x)' equal to zero and attempt to solve: Simplifying -15 + 7x = 0 Solving -15 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 0 + 15 7x = 0 + 15 Combine like terms: 0 + 15 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143Solution
x = {0, 2.142857143}
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