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Simplifying x[3 + 4x + -1y] = 0 [3 * x + 4x * x + -1y * x] = 0 Reorder the terms: [3x + -1xy + 4x2] = 0 [3x + -1xy + 4x2] = 0 Solving 3x + -1xy + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -1y + 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 + -1y + 4x)' equal to zero and attempt to solve: Simplifying 3 + -1y + 4x = 0 Reorder the terms: 3 + 4x + -1y = 0 Solving 3 + 4x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4x + -3 + -1y = 0 + -3 Reorder the terms: 3 + -3 + 4x + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x + -1y = 0 + -3 4x + -1y = 0 + -3 Combine like terms: 0 + -3 = -3 4x + -1y = -3 Add 'y' to each side of the equation. 4x + -1y + y = -3 + y Combine like terms: -1y + y = 0 4x + 0 = -3 + y 4x = -3 + y Divide each side by '4'. x = -0.75 + 0.25y Simplifying x = -0.75 + 0.25ySolution
x = {0, -0.75 + 0.25y}
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