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Simplifying -4k2 + -8k + -3 = -3 + -5x2 Reorder the terms: -3 + -8k + -4k2 = -3 + -5x2 Add '3' to each side of the equation. -3 + -8k + 3 + -4k2 = -3 + 3 + -5x2 Reorder the terms: -3 + 3 + -8k + -4k2 = -3 + 3 + -5x2 Combine like terms: -3 + 3 = 0 0 + -8k + -4k2 = -3 + 3 + -5x2 -8k + -4k2 = -3 + 3 + -5x2 Combine like terms: -3 + 3 = 0 -8k + -4k2 = 0 + -5x2 -8k + -4k2 = -5x2 Solving -8k + -4k2 = -5x2 Solving for variable 'k'. Combine like terms: -5x2 + 5x2 = 0 -8k + -4k2 + 5x2 = 0 Factor a trinomial. (-2k + -5x)(2k + -1x) = 0Subproblem 1
Set the factor '(-2k + -5x)' equal to zero and attempt to solve: Simplifying -2k + -5x = 0 Solving -2k + -5x = 0 Move all terms containing k to the left, all other terms to the right. Add '5x' to each side of the equation. -2k + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 -2k + 0 = 0 + 5x -2k = 0 + 5x Remove the zero: -2k = 5x Divide each side by '-2'. k = -2.5x Simplifying k = -2.5xSubproblem 2
Set the factor '(2k + -1x)' equal to zero and attempt to solve: Simplifying 2k + -1x = 0 Solving 2k + -1x = 0 Move all terms containing k to the left, all other terms to the right. Add 'x' to each side of the equation. 2k + -1x + x = 0 + x Combine like terms: -1x + x = 0 2k + 0 = 0 + x 2k = 0 + x Remove the zero: 2k = x Divide each side by '2'. k = 0.5x Simplifying k = 0.5xSolution
k = {-2.5x, 0.5x}
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