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Simplifying 2x + 24x = 14x3 Combine like terms: 2x + 24x = 26x 26x = 14x3 Solving 26x = 14x3 Solving for variable 'x'. Combine like terms: 14x3 + -14x3 = 0 26x + -14x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(13 + -7x2) = 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 '(13 + -7x2)' equal to zero and attempt to solve: Simplifying 13 + -7x2 = 0 Solving 13 + -7x2 = 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 + -7x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -7x2 = 0 + -13 -7x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -7x2 = -13 Divide each side by '-7'. x2 = 1.857142857 Simplifying x2 = 1.857142857 Take the square root of each side: x = {-1.362770288, 1.362770288}Solution
x = {0, -1.362770288, 1.362770288}
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