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Simplifying 3(5z + -1) + -5(z + 3) * z + 1 = 0 Reorder the terms: 3(-1 + 5z) + -5(z + 3) * z + 1 = 0 (-1 * 3 + 5z * 3) + -5(z + 3) * z + 1 = 0 (-3 + 15z) + -5(z + 3) * z + 1 = 0 Reorder the terms: -3 + 15z + -5(3 + z) * z + 1 = 0 Reorder the terms for easier multiplication: -3 + 15z + -5z(3 + z) + 1 = 0 -3 + 15z + (3 * -5z + z * -5z) + 1 = 0 -3 + 15z + (-15z + -5z2) + 1 = 0 Reorder the terms: -3 + 1 + 15z + -15z + -5z2 = 0 Combine like terms: -3 + 1 = -2 -2 + 15z + -15z + -5z2 = 0 Combine like terms: 15z + -15z = 0 -2 + 0 + -5z2 = 0 -2 + -5z2 = 0 Solving -2 + -5z2 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5z2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5z2 = 0 + 2 -5z2 = 0 + 2 Combine like terms: 0 + 2 = 2 -5z2 = 2 Divide each side by '-5'. z2 = -0.4 Simplifying z2 = -0.4 Reorder the terms: 0.4 + z2 = -0.4 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.4 + z2 = 0.0 The solution to this equation could not be determined.
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