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Simplifying 4x(3x + -2) + 7x = 0 Reorder the terms: 4x(-2 + 3x) + 7x = 0 (-2 * 4x + 3x * 4x) + 7x = 0 (-8x + 12x2) + 7x = 0 Reorder the terms: -8x + 7x + 12x2 = 0 Combine like terms: -8x + 7x = -1x -1x + 12x2 = 0 Solving -1x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 12x) = 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 '(-1 + 12x)' equal to zero and attempt to solve: Simplifying -1 + 12x = 0 Solving -1 + 12x = 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 + 12x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 0 + 1 12x = 0 + 1 Combine like terms: 0 + 1 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333Solution
x = {0, 0.08333333333}
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