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Simplifying 7x + 8x(2x + 2x) = 0 Combine like terms: 2x + 2x = 4x 7x + 8x(4x) = 0 Remove parenthesis around (4x) 7x + 8x * 4x = 0 Reorder the terms for easier multiplication: 7x + 8 * 4x * x = 0 Multiply 8 * 4 7x + 32x * x = 0 Multiply x * x 7x + 32x2 = 0 Solving 7x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 32x) = 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 + 32x)' equal to zero and attempt to solve: Simplifying 7 + 32x = 0 Solving 7 + 32x = 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 + 32x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 32x = 0 + -7 32x = 0 + -7 Combine like terms: 0 + -7 = -7 32x = -7 Divide each side by '32'. x = -0.21875 Simplifying x = -0.21875Solution
x = {0, -0.21875}
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