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Simplifying (4x2 + 2x) + (x2 + 6x) = 0 Reorder the terms: (2x + 4x2) + (x2 + 6x) = 0 Remove parenthesis around (2x + 4x2) 2x + 4x2 + (x2 + 6x) = 0 Reorder the terms: 2x + 4x2 + (6x + x2) = 0 Remove parenthesis around (6x + x2) 2x + 4x2 + 6x + x2 = 0 Reorder the terms: 2x + 6x + 4x2 + x2 = 0 Combine like terms: 2x + 6x = 8x 8x + 4x2 + x2 = 0 Combine like terms: 4x2 + x2 = 5x2 8x + 5x2 = 0 Solving 8x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(8 + 5x) = 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 '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Solution
x = {0, -1.6}
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