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Simplifying x(7 + x) + 9x * 9x = 0 (7 * x + x * x) + 9x * 9x = 0 (7x + x2) + 9x * 9x = 0 Reorder the terms for easier multiplication: 7x + x2 + 9 * 9x * x = 0 Multiply 9 * 9 7x + x2 + 81x * x = 0 Multiply x * x 7x + x2 + 81x2 = 0 Combine like terms: x2 + 81x2 = 82x2 7x + 82x2 = 0 Solving 7x + 82x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 82x) = 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 '(7 + 82x)' equal to zero and attempt to solve: Simplifying 7 + 82x = 0 Solving 7 + 82x = 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 + 82x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 82x = 0 + -7 82x = 0 + -7 Combine like terms: 0 + -7 = -7 82x = -7 Divide each side by '82'. x = -0.08536585366 Simplifying x = -0.08536585366Solution
x = {0, -0.08536585366}
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