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Simplifying 2(3t + -8) * x + -4t = 10 Reorder the terms: 2(-8 + 3t) * x + -4t = 10 Reorder the terms for easier multiplication: 2x(-8 + 3t) + -4t = 10 (-8 * 2x + 3t * 2x) + -4t = 10 Reorder the terms: (6tx + -16x) + -4t = 10 (6tx + -16x) + -4t = 10 Reorder the terms: -4t + 6tx + -16x = 10 Solving -4t + 6tx + -16x = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16x' to each side of the equation. -4t + 6tx + -16x + 16x = 10 + 16x Combine like terms: -16x + 16x = 0 -4t + 6tx + 0 = 10 + 16x -4t + 6tx = 10 + 16x Reorder the terms: -10 + -4t + 6tx + -16x = 10 + 16x + -10 + -16x Reorder the terms: -10 + -4t + 6tx + -16x = 10 + -10 + 16x + -16x Combine like terms: 10 + -10 = 0 -10 + -4t + 6tx + -16x = 0 + 16x + -16x -10 + -4t + 6tx + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 -10 + -4t + 6tx + -16x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -2t + 3tx + -8x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -2t + 3tx + -8x)' equal to zero and attempt to solve: Simplifying -5 + -2t + 3tx + -8x = 0 Solving -5 + -2t + 3tx + -8x = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -2t + 3tx + 5 + -8x = 0 + 5 Reorder the terms: -5 + 5 + -2t + 3tx + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2t + 3tx + -8x = 0 + 5 -2t + 3tx + -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -2t + 3tx + -8x = 5 Add '8x' to each side of the equation. -2t + 3tx + -8x + 8x = 5 + 8x Combine like terms: -8x + 8x = 0 -2t + 3tx + 0 = 5 + 8x -2t + 3tx = 5 + 8x 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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