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Simplifying -4x2 + -8k + -3 = -3 + -5k2 Reorder the terms: -3 + -8k + -4x2 = -3 + -5k2 Add '3' to each side of the equation. -3 + -8k + 3 + -4x2 = -3 + 3 + -5k2 Reorder the terms: -3 + 3 + -8k + -4x2 = -3 + 3 + -5k2 Combine like terms: -3 + 3 = 0 0 + -8k + -4x2 = -3 + 3 + -5k2 -8k + -4x2 = -3 + 3 + -5k2 Combine like terms: -3 + 3 = 0 -8k + -4x2 = 0 + -5k2 -8k + -4x2 = -5k2 Solving -8k + -4x2 = -5k2 Solving for variable 'k'. Reorder the terms: -8k + 5k2 + -4x2 = -5k2 + 5k2 Combine like terms: -5k2 + 5k2 = 0 -8k + 5k2 + -4x2 = 0 Factor a trinomial. (k + -2x)(5k + 2x) = 0Subproblem 1
Set the factor '(k + -2x)' equal to zero and attempt to solve: Simplifying k + -2x = 0 Solving k + -2x = 0 Move all terms containing k to the left, all other terms to the right. Add '2x' to each side of the equation. k + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 k + 0 = 0 + 2x k = 0 + 2x Remove the zero: k = 2x Simplifying k = 2xSubproblem 2
Set the factor '(5k + 2x)' equal to zero and attempt to solve: Simplifying 5k + 2x = 0 Solving 5k + 2x = 0 Move all terms containing k to the left, all other terms to the right. Add '-2x' to each side of the equation. 5k + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 5k + 0 = 0 + -2x 5k = 0 + -2x Remove the zero: 5k = -2x Divide each side by '5'. k = -0.4x Simplifying k = -0.4xSolution
k = {2x, -0.4x}
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