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Simplifying 3x2 + 19x2 + -72x = 0 Reorder the terms: -72x + 3x2 + 19x2 = 0 Combine like terms: 3x2 + 19x2 = 22x2 -72x + 22x2 = 0 Solving -72x + 22x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-36 + 11x) = 0 Ignore the factor 2.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 '(-36 + 11x)' equal to zero and attempt to solve: Simplifying -36 + 11x = 0 Solving -36 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 11x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 11x = 0 + 36 11x = 0 + 36 Combine like terms: 0 + 36 = 36 11x = 36 Divide each side by '11'. x = 3.272727273 Simplifying x = 3.272727273Solution
x = {0, 3.272727273}
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