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Simplifying 15X2 + 14X = 27X Reorder the terms: 14X + 15X2 = 27X Solving 14X + 15X2 = 27X Solving for variable 'X'. Reorder the terms: 14X + -27X + 15X2 = 27X + -27X Combine like terms: 14X + -27X = -13X -13X + 15X2 = 27X + -27X Combine like terms: 27X + -27X = 0 -13X + 15X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(-13 + 15X) = 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 '(-13 + 15X)' equal to zero and attempt to solve: Simplifying -13 + 15X = 0 Solving -13 + 15X = 0 Move all terms containing X to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 15X = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 15X = 0 + 13 15X = 0 + 13 Combine like terms: 0 + 13 = 13 15X = 13 Divide each side by '15'. X = 0.8666666667 Simplifying X = 0.8666666667Solution
X = {0, 0.8666666667}
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