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Simplifying 14x * 14x = 7x Reorder the terms for easier multiplication: 14 * 14x * x = 7x Multiply 14 * 14 196x * x = 7x Multiply x * x 196x2 = 7x Solving 196x2 = 7x Solving for variable 'x'. Reorder the terms: -7x + 196x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -7x + 196x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(-1 + 28x) = 0 Ignore the factor 7.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 '(-1 + 28x)' equal to zero and attempt to solve: Simplifying -1 + 28x = 0 Solving -1 + 28x = 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 + 28x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 28x = 0 + 1 28x = 0 + 1 Combine like terms: 0 + 1 = 1 28x = 1 Divide each side by '28'. x = 0.03571428571 Simplifying x = 0.03571428571Solution
x = {0, 0.03571428571}
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