15z-51z(-3z+17)=-3z(-11z-15)-12z(-10z-15)

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Solution for 15z-51z(-3z+17)=-3z(-11z-15)-12z(-10z-15) equation: 


Simplifying
15z + -51z(-3z + 17) = -3z(-11z + -15) + -12z(-10z + -15)

Reorder the terms:
15z + -51z(17 + -3z) = -3z(-11z + -15) + -12z(-10z + -15)
15z + (17 * -51z + -3z * -51z) = -3z(-11z + -15) + -12z(-10z + -15)
15z + (-867z + 153z2) = -3z(-11z + -15) + -12z(-10z + -15)

Combine like terms: 15z + -867z = -852z
-852z + 153z2 = -3z(-11z + -15) + -12z(-10z + -15)

Reorder the terms:
-852z + 153z2 = -3z(-15 + -11z) + -12z(-10z + -15)
-852z + 153z2 = (-15 * -3z + -11z * -3z) + -12z(-10z + -15)
-852z + 153z2 = (45z + 33z2) + -12z(-10z + -15)

Reorder the terms:
-852z + 153z2 = 45z + 33z2 + -12z(-15 + -10z)
-852z + 153z2 = 45z + 33z2 + (-15 * -12z + -10z * -12z)
-852z + 153z2 = 45z + 33z2 + (180z + 120z2)

Reorder the terms:
-852z + 153z2 = 45z + 180z + 33z2 + 120z2

Combine like terms: 45z + 180z = 225z
-852z + 153z2 = 225z + 33z2 + 120z2

Combine like terms: 33z2 + 120z2 = 153z2
-852z + 153z2 = 225z + 153z2

Add '-153z2' to each side of the equation.
-852z + 153z2 + -153z2 = 225z + 153z2 + -153z2

Combine like terms: 153z2 + -153z2 = 0
-852z + 0 = 225z + 153z2 + -153z2
-852z = 225z + 153z2 + -153z2

Combine like terms: 153z2 + -153z2 = 0
-852z = 225z + 0
-852z = 225z

Solving
-852z = 225z

Solving for variable 'z'.

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

Add '-225z' to each side of the equation.
-852z + -225z = 225z + -225z

Combine like terms: -852z + -225z = -1077z
-1077z = 225z + -225z

Combine like terms: 225z + -225z = 0
-1077z = 0

Divide each side by '-1077'.
z = 0

Simplifying
z = 0

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