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Simplifying x(x + 3) + x(x + 4) = 0 Reorder the terms: x(3 + x) + x(x + 4) = 0 (3 * x + x * x) + x(x + 4) = 0 (3x + x2) + x(x + 4) = 0 Reorder the terms: 3x + x2 + x(4 + x) = 0 3x + x2 + (4 * x + x * x) = 0 3x + x2 + (4x + x2) = 0 Reorder the terms: 3x + 4x + x2 + x2 = 0 Combine like terms: 3x + 4x = 7x 7x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 7x + 2x2 = 0 Solving 7x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {0, -3.5}
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