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Simplifying 2x2 + (4x)(2x) + 3x = 0 Remove parenthesis around (4x) 2x2 + 4x(2x) + 3x = 0 Remove parenthesis around (2x) 2x2 + 4x * 2x + 3x = 0 Reorder the terms for easier multiplication: 2x2 + 4 * 2x * x + 3x = 0 Multiply 4 * 2 2x2 + 8x * x + 3x = 0 Multiply x * x 2x2 + 8x2 + 3x = 0 Reorder the terms: 3x + 2x2 + 8x2 = 0 Combine like terms: 2x2 + 8x2 = 10x2 3x + 10x2 = 0 Solving 3x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 10x) = 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 + 10x)' equal to zero and attempt to solve: Simplifying 3 + 10x = 0 Solving 3 + 10x = 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 + 10x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 0 + -3 10x = 0 + -3 Combine like terms: 0 + -3 = -3 10x = -3 Divide each side by '10'. x = -0.3 Simplifying x = -0.3Solution
x = {0, -0.3}
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