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Simplifying 3xy2 + -7x2 + x + 3x2 = 0 Reorder the terms: x + 3xy2 + -7x2 + 3x2 = 0 Combine like terms: -7x2 + 3x2 = -4x2 x + 3xy2 + -4x2 = 0 Solving x + 3xy2 + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 3y2 + -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 '(1 + 3y2 + -4x)' equal to zero and attempt to solve: Simplifying 1 + 3y2 + -4x = 0 Reorder the terms: 1 + -4x + 3y2 = 0 Solving 1 + -4x + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4x + -1 + 3y2 = 0 + -1 Reorder the terms: 1 + -1 + -4x + 3y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x + 3y2 = 0 + -1 -4x + 3y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4x + 3y2 = -1 Add '-3y2' to each side of the equation. -4x + 3y2 + -3y2 = -1 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -4x + 0 = -1 + -3y2 -4x = -1 + -3y2 Divide each side by '-4'. x = 0.25 + 0.75y2 Simplifying x = 0.25 + 0.75y2Solution
x = {0, 0.25 + 0.75y2}
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