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Simplifying (7x)(7x) + -3x = 0 Remove parenthesis around (7x) 7x(7x) + -3x = 0 Remove parenthesis around (7x) 7x * 7x + -3x = 0 Reorder the terms for easier multiplication: 7 * 7x * x + -3x = 0 Multiply 7 * 7 49x * x + -3x = 0 Multiply x * x 49x2 + -3x = 0 Reorder the terms: -3x + 49x2 = 0 Solving -3x + 49x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 49x) = 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 '(-3 + 49x)' equal to zero and attempt to solve: Simplifying -3 + 49x = 0 Solving -3 + 49x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 49x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 49x = 0 + 3 49x = 0 + 3 Combine like terms: 0 + 3 = 3 49x = 3 Divide each side by '49'. x = 0.0612244898 Simplifying x = 0.0612244898Solution
x = {0, 0.0612244898}
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