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Simplifying 3x(5x + -2) + 4x = 9x + 6 + -2x Reorder the terms: 3x(-2 + 5x) + 4x = 9x + 6 + -2x (-2 * 3x + 5x * 3x) + 4x = 9x + 6 + -2x (-6x + 15x2) + 4x = 9x + 6 + -2x Reorder the terms: -6x + 4x + 15x2 = 9x + 6 + -2x Combine like terms: -6x + 4x = -2x -2x + 15x2 = 9x + 6 + -2x Reorder the terms: -2x + 15x2 = 6 + 9x + -2x Combine like terms: 9x + -2x = 7x -2x + 15x2 = 6 + 7x Solving -2x + 15x2 = 6 + 7x Solving for variable 'x'. Reorder the terms: -6 + -2x + -7x + 15x2 = 6 + 7x + -6 + -7x Combine like terms: -2x + -7x = -9x -6 + -9x + 15x2 = 6 + 7x + -6 + -7x Reorder the terms: -6 + -9x + 15x2 = 6 + -6 + 7x + -7x Combine like terms: 6 + -6 = 0 -6 + -9x + 15x2 = 0 + 7x + -7x -6 + -9x + 15x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -9x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -3x + 5x2) = 0 Factor a trinomial. 3((-2 + -5x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 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 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 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 = {-0.4, 1}
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