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Simplifying 4 * 6x + (6x * 5x) = 0 Multiply 4 * 6 24x + (6x * 5x) = 0 Reorder the terms for easier multiplication: 24x + (6 * 5x * x) = 0 Multiply 6 * 5 24x + (30x * x) = 0 Multiply x * x 24x + (30x2) = 0 Solving 24x + (30x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(4 + (5x)) = 0 Ignore the factor 6.Subproblem 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 '(4 + (5x))' equal to zero and attempt to solve: Simplifying 4 + (5x) = 0 Solving 4 + (5x) = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + (5x) = 0 + -4 Combine like terms: 4 + -4 = 0 0 + (5x) = 0 + -4 (5x) = 0 + -4 Combine like terms: 0 + -4 = -4 (5x) = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {0, -0.8}
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