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Simplifying (72x3) + -98x = 0 Reorder the terms: -98x + (72x3) = 0 Solving -98x + (72x3) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-49 + (36x2)) = 0 Factor a difference between two squares. 2x((7 + (6x))(-7 + (6x))) = 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 '(7 + (6x))' equal to zero and attempt to solve: Simplifying 7 + (6x) = 0 Solving 7 + (6x) = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + (6x) = 0 + -7 Combine like terms: 7 + -7 = 0 0 + (6x) = 0 + -7 (6x) = 0 + -7 Combine like terms: 0 + -7 = -7 (6x) = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667Subproblem 3
Set the factor '(-7 + (6x))' equal to zero and attempt to solve: Simplifying -7 + (6x) = 0 Solving -7 + (6x) = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + (6x) = 0 + 7 Combine like terms: -7 + 7 = 0 0 + (6x) = 0 + 7 (6x) = 0 + 7 Combine like terms: 0 + 7 = 7 (6x) = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {0, -1.166666667, 1.166666667}
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