3x+2=z(5z+8)-12

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Solution for 3x+2=z(5z+8)-12 equation: 


Simplifying
3x + 2 = z(5z + 8) + -12

Reorder the terms:
2 + 3x = z(5z + 8) + -12

Reorder the terms:
2 + 3x = z(8 + 5z) + -12
2 + 3x = (8 * z + 5z * z) + -12
2 + 3x = (8z + 5z2) + -12

Reorder the terms:
2 + 3x = -12 + 8z + 5z2

Solving
2 + 3x = -12 + 8z + 5z2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 3x = -12 + 8z + -2 + 5z2

Combine like terms: 2 + -2 = 0
0 + 3x = -12 + 8z + -2 + 5z2
3x = -12 + 8z + -2 + 5z2

Reorder the terms:
3x = -12 + -2 + 8z + 5z2

Combine like terms: -12 + -2 = -14
3x = -14 + 8z + 5z2

Divide each side by '3'.
x = -4.666666667 + 2.666666667z + 1.666666667z2

Simplifying
x = -4.666666667 + 2.666666667z + 1.666666667z2

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