(7z+8)(9z-2)=

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Solution for (7z+8)(9z-2)= equation:


Simplifying
(7z + 8)(9z + -2) = 0

Reorder the terms:
(8 + 7z)(9z + -2) = 0

Reorder the terms:
(8 + 7z)(-2 + 9z) = 0

Multiply (8 + 7z) * (-2 + 9z)
(8(-2 + 9z) + 7z * (-2 + 9z)) = 0
((-2 * 8 + 9z * 8) + 7z * (-2 + 9z)) = 0
((-16 + 72z) + 7z * (-2 + 9z)) = 0
(-16 + 72z + (-2 * 7z + 9z * 7z)) = 0
(-16 + 72z + (-14z + 63z2)) = 0

Combine like terms: 72z + -14z = 58z
(-16 + 58z + 63z2) = 0

Solving
-16 + 58z + 63z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-8 + -7z)(2 + -9z) = 0

Subproblem 1

Set the factor '(-8 + -7z)' equal to zero and attempt to solve: Simplifying -8 + -7z = 0 Solving -8 + -7z = 0 Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7z = 0 + 8 -7z = 0 + 8 Combine like terms: 0 + 8 = 8 -7z = 8 Divide each side by '-7'. z = -1.142857143 Simplifying z = -1.142857143

Subproblem 2

Set the factor '(2 + -9z)' equal to zero and attempt to solve: Simplifying 2 + -9z = 0 Solving 2 + -9z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9z = 0 + -2 -9z = 0 + -2 Combine like terms: 0 + -2 = -2 -9z = -2 Divide each side by '-9'. z = 0.2222222222 Simplifying z = 0.2222222222

Solution

z = {-1.142857143, 0.2222222222}

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