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Simplifying x(3x + -2y + 7) = 0 Reorder the terms: x(7 + 3x + -2y) = 0 (7 * x + 3x * x + -2y * x) = 0 Reorder the terms: (7x + -2xy + 3x2) = 0 (7x + -2xy + 3x2) = 0 Solving 7x + -2xy + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -2y + 3x) = 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 '(7 + -2y + 3x)' equal to zero and attempt to solve: Simplifying 7 + -2y + 3x = 0 Reorder the terms: 7 + 3x + -2y = 0 Solving 7 + 3x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 3x + -7 + -2y = 0 + -7 Reorder the terms: 7 + -7 + 3x + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x + -2y = 0 + -7 3x + -2y = 0 + -7 Combine like terms: 0 + -7 = -7 3x + -2y = -7 Add '2y' to each side of the equation. 3x + -2y + 2y = -7 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = -7 + 2y 3x = -7 + 2y Divide each side by '3'. x = -2.333333333 + 0.6666666667y Simplifying x = -2.333333333 + 0.6666666667ySolution
x = {0, -2.333333333 + 0.6666666667y}
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