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Simplifying 7x2y2 + 49x3 + 49x2 = 0 Reorder the terms: 49x2 + 7x2y2 + 49x3 = 0 Solving 49x2 + 7x2y2 + 49x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2'. 7x2(7 + y2 + 7x) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(7 + y2 + 7x)' equal to zero and attempt to solve: Simplifying 7 + y2 + 7x = 0 Reorder the terms: 7 + 7x + y2 = 0 Solving 7 + 7x + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 7x + -7 + y2 = 0 + -7 Reorder the terms: 7 + -7 + 7x + y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7x + y2 = 0 + -7 7x + y2 = 0 + -7 Combine like terms: 0 + -7 = -7 7x + y2 = -7 Add '-1y2' to each side of the equation. 7x + y2 + -1y2 = -7 + -1y2 Combine like terms: y2 + -1y2 = 0 7x + 0 = -7 + -1y2 7x = -7 + -1y2 Divide each side by '7'. x = -1 + -0.1428571429y2 Simplifying x = -1 + -0.1428571429y2Solution
x = {0, -1 + -0.1428571429y2}
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