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Simplifying (5 + x)(2y + -1z) = 15z Multiply (5 + x) * (2y + -1z) (5(2y + -1z) + x(2y + -1z)) = 15z ((2y * 5 + -1z * 5) + x(2y + -1z)) = 15z ((10y + -5z) + x(2y + -1z)) = 15z (10y + -5z + (2y * x + -1z * x)) = 15z (10y + -5z + (2xy + -1xz)) = 15z Reorder the terms: (2xy + -1xz + 10y + -5z) = 15z (2xy + -1xz + 10y + -5z) = 15z Solving 2xy + -1xz + 10y + -5z = 15z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 2xy + -1xz + 10y + -10y + -5z = -10y + 15z Combine like terms: 10y + -10y = 0 2xy + -1xz + 0 + -5z = -10y + 15z 2xy + -1xz + -5z = -10y + 15z Add '5z' to each side of the equation. 2xy + -1xz + -5z + 5z = -10y + 15z + 5z Combine like terms: -5z + 5z = 0 2xy + -1xz + 0 = -10y + 15z + 5z 2xy + -1xz = -10y + 15z + 5z Combine like terms: 15z + 5z = 20z 2xy + -1xz = -10y + 20z Reorder the terms: 2xy + -1xz + 10y + -20z = -10y + 10y + 20z + -20z Combine like terms: -10y + 10y = 0 2xy + -1xz + 10y + -20z = 0 + 20z + -20z 2xy + -1xz + 10y + -20z = 20z + -20z Combine like terms: 20z + -20z = 0 2xy + -1xz + 10y + -20z = 0 The solution to this equation could not be determined.
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