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Simplifying (2x2 + -3x3) + -1(8x2 + -7x3) = 0 Remove parenthesis around (2x2 + -3x3) 2x2 + -3x3 + -1(8x2 + -7x3) = 0 2x2 + -3x3 + (8x2 * -1 + -7x3 * -1) = 0 2x2 + -3x3 + (-8x2 + 7x3) = 0 Reorder the terms: 2x2 + -8x2 + -3x3 + 7x3 = 0 Combine like terms: 2x2 + -8x2 = -6x2 -6x2 + -3x3 + 7x3 = 0 Combine like terms: -3x3 + 7x3 = 4x3 -6x2 + 4x3 = 0 Solving -6x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-3 + 2x) = 0 Ignore the factor 2.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 '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, 1.5}
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