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Simplifying z2 + -4z + 10 = z(z + -5) Reorder the terms: 10 + -4z + z2 = z(z + -5) Reorder the terms: 10 + -4z + z2 = z(-5 + z) 10 + -4z + z2 = (-5 * z + z * z) 10 + -4z + z2 = (-5z + z2) Add '-1z2' to each side of the equation. 10 + -4z + z2 + -1z2 = -5z + z2 + -1z2 Combine like terms: z2 + -1z2 = 0 10 + -4z + 0 = -5z + z2 + -1z2 10 + -4z = -5z + z2 + -1z2 Combine like terms: z2 + -1z2 = 0 10 + -4z = -5z + 0 10 + -4z = -5z Solving 10 + -4z = -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 10 + -4z + 5z = -5z + 5z Combine like terms: -4z + 5z = 1z 10 + 1z = -5z + 5z Combine like terms: -5z + 5z = 0 10 + 1z = 0 Add '-10' to each side of the equation. 10 + -10 + 1z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 0 + -10 1z = 0 + -10 Combine like terms: 0 + -10 = -10 1z = -10 Divide each side by '1'. z = -10 Simplifying z = -10
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