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Simplifying -14z(-7z + 18) = 17z + 49z(2z + -6) + -8 Reorder the terms: -14z(18 + -7z) = 17z + 49z(2z + -6) + -8 (18 * -14z + -7z * -14z) = 17z + 49z(2z + -6) + -8 (-252z + 98z2) = 17z + 49z(2z + -6) + -8 Reorder the terms: -252z + 98z2 = 17z + 49z(-6 + 2z) + -8 -252z + 98z2 = 17z + (-6 * 49z + 2z * 49z) + -8 -252z + 98z2 = 17z + (-294z + 98z2) + -8 Reorder the terms: -252z + 98z2 = -8 + 17z + -294z + 98z2 Combine like terms: 17z + -294z = -277z -252z + 98z2 = -8 + -277z + 98z2 Add '-98z2' to each side of the equation. -252z + 98z2 + -98z2 = -8 + -277z + 98z2 + -98z2 Combine like terms: 98z2 + -98z2 = 0 -252z + 0 = -8 + -277z + 98z2 + -98z2 -252z = -8 + -277z + 98z2 + -98z2 Combine like terms: 98z2 + -98z2 = 0 -252z = -8 + -277z + 0 -252z = -8 + -277z Solving -252z = -8 + -277z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '277z' to each side of the equation. -252z + 277z = -8 + -277z + 277z Combine like terms: -252z + 277z = 25z 25z = -8 + -277z + 277z Combine like terms: -277z + 277z = 0 25z = -8 + 0 25z = -8 Divide each side by '25'. z = -0.32 Simplifying z = -0.32
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