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Simplifying 2x2(1 + x) + 7(x3 + -4x2) = 0 (1 * 2x2 + x * 2x2) + 7(x3 + -4x2) = 0 (2x2 + 2x3) + 7(x3 + -4x2) = 0 Reorder the terms: 2x2 + 2x3 + 7(-4x2 + x3) = 0 2x2 + 2x3 + (-4x2 * 7 + x3 * 7) = 0 2x2 + 2x3 + (-28x2 + 7x3) = 0 Reorder the terms: 2x2 + -28x2 + 2x3 + 7x3 = 0 Combine like terms: 2x2 + -28x2 = -26x2 -26x2 + 2x3 + 7x3 = 0 Combine like terms: 2x3 + 7x3 = 9x3 -26x2 + 9x3 = 0 Solving -26x2 + 9x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-26 + 9x) = 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 '(-26 + 9x)' equal to zero and attempt to solve: Simplifying -26 + 9x = 0 Solving -26 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 9x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 9x = 0 + 26 9x = 0 + 26 Combine like terms: 0 + 26 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889Solution
x = {0, 2.888888889}
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