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Simplifying 2x[3x + (4x + -1)] = 8x Reorder the terms: 2x[3x + (-1 + 4x)] = 8x Remove parenthesis around (-1 + 4x) 2x[3x + -1 + 4x] = 8x Reorder the terms: 2x[-1 + 3x + 4x] = 8x Combine like terms: 3x + 4x = 7x 2x[-1 + 7x] = 8x [-1 * 2x + 7x * 2x] = 8x [-2x + 14x2] = 8x Solving -2x + 14x2 = 8x Solving for variable 'x'. Reorder the terms: -2x + -8x + 14x2 = 8x + -8x Combine like terms: -2x + -8x = -10x -10x + 14x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -10x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + 7x) = 0 Ignore the factor 2.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 '(-5 + 7x)' equal to zero and attempt to solve: Simplifying -5 + 7x = 0 Solving -5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 0 + 5 7x = 0 + 5 Combine like terms: 0 + 5 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {0, 0.7142857143}
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