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Simplifying (4x2 + -3x3) + -1(9x2 + -6x3) = 0 Remove parenthesis around (4x2 + -3x3) 4x2 + -3x3 + -1(9x2 + -6x3) = 0 4x2 + -3x3 + (9x2 * -1 + -6x3 * -1) = 0 4x2 + -3x3 + (-9x2 + 6x3) = 0 Reorder the terms: 4x2 + -9x2 + -3x3 + 6x3 = 0 Combine like terms: 4x2 + -9x2 = -5x2 -5x2 + -3x3 + 6x3 = 0 Combine like terms: -3x3 + 6x3 = 3x3 -5x2 + 3x3 = 0 Solving -5x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-5 + 3x) = 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 '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, 1.666666667}
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