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Simplifying x = 7x2(14x) Remove parenthesis around (14x) x = 7x2 * 14x Reorder the terms for easier multiplication: x = 7 * 14x2 * x Multiply 7 * 14 x = 98x2 * x Multiply x2 * x x = 98x3 Solving x = 98x3 Solving for variable 'x'. Combine like terms: 98x3 + -98x3 = 0 x + -98x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -98x2) = 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 '(1 + -98x2)' equal to zero and attempt to solve: Simplifying 1 + -98x2 = 0 Solving 1 + -98x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -98x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -98x2 = 0 + -1 -98x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -98x2 = -1 Divide each side by '-98'. x2 = 0.01020408163 Simplifying x2 = 0.01020408163 Take the square root of each side: x = {-0.101015254, 0.101015254}Solution
x = {0, -0.101015254, 0.101015254}
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