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Simplifying 3x + 1 + -1 = 4x2 Reorder the terms: 1 + -1 + 3x = 4x2 Combine like terms: 1 + -1 = 0 0 + 3x = 4x2 3x = 4x2 Solving 3x = 4x2 Solving for variable 'x'. Combine like terms: 4x2 + -4x2 = 0 3x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0, 0.75}
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