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Simplifying (4x3) + -1(9x2) = 0 Remove parenthesis around (9x2) (4x3) + -1 * 9x2 = 0 Multiply -1 * 9 (4x3) + -9x2 = 0 Reorder the terms: -9x2 + (4x3) = 0 Solving -9x2 + (4x3) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-9 + (4x)) = 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 '(-9 + (4x))' equal to zero and attempt to solve: Simplifying -9 + (4x) = 0 Solving -9 + (4x) = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + (4x) = 0 + 9 Combine like terms: -9 + 9 = 0 0 + (4x) = 0 + 9 (4x) = 0 + 9 Combine like terms: 0 + 9 = 9 (4x) = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25Solution
x = {0, 2.25}
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