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Simplifying k(x) = 2x2 + -3xifk(2 + t) Multiply k * x kx = 2x2 + -3xifk(2 + t) kx = 2x2 + (2 * -3fikx + t * -3fikx) Reorder the terms: kx = 2x2 + (-3fiktx + -6fikx) kx = 2x2 + (-3fiktx + -6fikx) Reorder the terms: kx = -3fiktx + -6fikx + 2x2 Solving kx = -3fiktx + -6fikx + 2x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3fiktx' to each side of the equation. 3fiktx + kx = -3fiktx + -6fikx + 3fiktx + 2x2 Reorder the terms: 3fiktx + kx = -3fiktx + 3fiktx + -6fikx + 2x2 Combine like terms: -3fiktx + 3fiktx = 0 3fiktx + kx = 0 + -6fikx + 2x2 3fiktx + kx = -6fikx + 2x2 Add '6fikx' to each side of the equation. 3fiktx + 6fikx + kx = -6fikx + 6fikx + 2x2 Combine like terms: -6fikx + 6fikx = 0 3fiktx + 6fikx + kx = 0 + 2x2 3fiktx + 6fikx + kx = 2x2 Combine like terms: 2x2 + -2x2 = 0 3fiktx + 6fikx + kx + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3fikt + 6fik + k + -2x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing k to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(3fikt + 6fik + k + -2x)' equal to zero and attempt to solve: Simplifying 3fikt + 6fik + k + -2x = 0 Reorder the terms: 6fik + 3fikt + k + -2x = 0 Solving 6fik + 3fikt + 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. 6fik + 3fikt + k + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 6fik + 3fikt + k + 0 = 0 + 2x 6fik + 3fikt + k = 0 + 2x Remove the zero: 6fik + 3fikt + k = 2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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