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Simplifying -2(5y + -1) * ky = -4(y + -3) Reorder the terms: -2(-1 + 5y) * ky = -4(y + -3) Reorder the terms for easier multiplication: -2ky(-1 + 5y) = -4(y + -3) (-1 * -2ky + 5y * -2ky) = -4(y + -3) (2ky + -10ky2) = -4(y + -3) Reorder the terms: 2ky + -10ky2 = -4(-3 + y) 2ky + -10ky2 = (-3 * -4 + y * -4) 2ky + -10ky2 = (12 + -4y) Solving 2ky + -10ky2 = 12 + -4y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Reorder the terms: -12 + 2ky + -10ky2 + 4y = 12 + -4y + -12 + 4y Reorder the terms: -12 + 2ky + -10ky2 + 4y = 12 + -12 + -4y + 4y Combine like terms: 12 + -12 = 0 -12 + 2ky + -10ky2 + 4y = 0 + -4y + 4y -12 + 2ky + -10ky2 + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 2ky + -10ky2 + 4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + ky + -5ky2 + 2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + ky + -5ky2 + 2y)' equal to zero and attempt to solve: Simplifying -6 + ky + -5ky2 + 2y = 0 Solving -6 + ky + -5ky2 + 2y = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + ky + -5ky2 + 6 + 2y = 0 + 6 Reorder the terms: -6 + 6 + ky + -5ky2 + 2y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + ky + -5ky2 + 2y = 0 + 6 ky + -5ky2 + 2y = 0 + 6 Combine like terms: 0 + 6 = 6 ky + -5ky2 + 2y = 6 Add '-2y' to each side of the equation. ky + -5ky2 + 2y + -2y = 6 + -2y Combine like terms: 2y + -2y = 0 ky + -5ky2 + 0 = 6 + -2y ky + -5ky2 = 6 + -2y 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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