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Simplifying (2x5) + -1(3x4) + -1(5x3) = 0 Remove parenthesis around (3x4) (2x5) + -1 * 3x4 + -1(5x3) = 0 Multiply -1 * 3 (2x5) + -3x4 + -1(5x3) = 0 Remove parenthesis around (5x3) (2x5) + -3x4 + -1 * 5x3 = 0 Multiply -1 * 5 (2x5) + -3x4 + -5x3 = 0 Reorder the terms: -5x3 + -3x4 + (2x5) = 0 Solving -5x3 + -3x4 + (2x5) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(-5 + -3x + (2x2)) = 0 Factor a trinomial. x3((-1 + -1x)(5 + -2x)) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 3
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-1, 2.5}
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