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Simplifying 45x2 + -84x = 0 Reorder the terms: -84x + 45x2 = 0 Solving -84x + 45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-28 + 15x) = 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 '(-28 + 15x)' equal to zero and attempt to solve: Simplifying -28 + 15x = 0 Solving -28 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 15x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 15x = 0 + 28 15x = 0 + 28 Combine like terms: 0 + 28 = 28 15x = 28 Divide each side by '15'. x = 1.866666667 Simplifying x = 1.866666667Solution
x = {0, 1.866666667}
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