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Simplifying 6x(2x + 1) + -1x(5x + 3) = 0 Reorder the terms: 6x(1 + 2x) + -1x(5x + 3) = 0 (1 * 6x + 2x * 6x) + -1x(5x + 3) = 0 (6x + 12x2) + -1x(5x + 3) = 0 Reorder the terms: 6x + 12x2 + -1x(3 + 5x) = 0 6x + 12x2 + (3 * -1x + 5x * -1x) = 0 6x + 12x2 + (-3x + -5x2) = 0 Reorder the terms: 6x + -3x + 12x2 + -5x2 = 0 Combine like terms: 6x + -3x = 3x 3x + 12x2 + -5x2 = 0 Combine like terms: 12x2 + -5x2 = 7x2 3x + 7x2 = 0 Solving 3x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 7x) = 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 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Solution
x = {0, -0.4285714286}
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