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Simplifying 5x[4x + (2x + -6)] = 4x + -4 Reorder the terms: 5x[4x + (-6 + 2x)] = 4x + -4 Remove parenthesis around (-6 + 2x) 5x[4x + -6 + 2x] = 4x + -4 Reorder the terms: 5x[-6 + 4x + 2x] = 4x + -4 Combine like terms: 4x + 2x = 6x 5x[-6 + 6x] = 4x + -4 [-6 * 5x + 6x * 5x] = 4x + -4 [-30x + 30x2] = 4x + -4 Reorder the terms: -30x + 30x2 = -4 + 4x Solving -30x + 30x2 = -4 + 4x Solving for variable 'x'. Reorder the terms: 4 + -30x + -4x + 30x2 = -4 + 4x + 4 + -4x Combine like terms: -30x + -4x = -34x 4 + -34x + 30x2 = -4 + 4x + 4 + -4x Reorder the terms: 4 + -34x + 30x2 = -4 + 4 + 4x + -4x Combine like terms: -4 + 4 = 0 4 + -34x + 30x2 = 0 + 4x + -4x 4 + -34x + 30x2 = 4x + -4x Combine like terms: 4x + -4x = 0 4 + -34x + 30x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -17x + 15x2) = 0 Factor a trinomial. 2((2 + -15x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -15x)' equal to zero and attempt to solve: Simplifying 2 + -15x = 0 Solving 2 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -15x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -15x = 0 + -2 -15x = 0 + -2 Combine like terms: 0 + -2 = -2 -15x = -2 Divide each side by '-15'. x = 0.1333333333 Simplifying x = 0.1333333333Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.1333333333, 1}
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