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Simplifying (7x3 + 2x2) + (6x3 + 2x2) = 0 Reorder the terms: (2x2 + 7x3) + (6x3 + 2x2) = 0 Remove parenthesis around (2x2 + 7x3) 2x2 + 7x3 + (6x3 + 2x2) = 0 Reorder the terms: 2x2 + 7x3 + (2x2 + 6x3) = 0 Remove parenthesis around (2x2 + 6x3) 2x2 + 7x3 + 2x2 + 6x3 = 0 Reorder the terms: 2x2 + 2x2 + 7x3 + 6x3 = 0 Combine like terms: 2x2 + 2x2 = 4x2 4x2 + 7x3 + 6x3 = 0 Combine like terms: 7x3 + 6x3 = 13x3 4x2 + 13x3 = 0 Solving 4x2 + 13x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(4 + 13x) = 0Subproblem 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 '(4 + 13x)' equal to zero and attempt to solve: Simplifying 4 + 13x = 0 Solving 4 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 0 + -4 13x = 0 + -4 Combine like terms: 0 + -4 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077Solution
x = {0, -0.3076923077}
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