-19(-4z+13)-10z(5z-15)=-2z(25z+16)

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Solution for -19(-4z+13)-10z(5z-15)=-2z(25z+16) equation:


Simplifying
-19(-4z + 13) + -10z(5z + -15) = -2z(25z + 16)

Reorder the terms:
-19(13 + -4z) + -10z(5z + -15) = -2z(25z + 16)
(13 * -19 + -4z * -19) + -10z(5z + -15) = -2z(25z + 16)
(-247 + 76z) + -10z(5z + -15) = -2z(25z + 16)

Reorder the terms:
-247 + 76z + -10z(-15 + 5z) = -2z(25z + 16)
-247 + 76z + (-15 * -10z + 5z * -10z) = -2z(25z + 16)
-247 + 76z + (150z + -50z2) = -2z(25z + 16)

Combine like terms: 76z + 150z = 226z
-247 + 226z + -50z2 = -2z(25z + 16)

Reorder the terms:
-247 + 226z + -50z2 = -2z(16 + 25z)
-247 + 226z + -50z2 = (16 * -2z + 25z * -2z)
-247 + 226z + -50z2 = (-32z + -50z2)

Add '50z2' to each side of the equation.
-247 + 226z + -50z2 + 50z2 = -32z + -50z2 + 50z2

Combine like terms: -50z2 + 50z2 = 0
-247 + 226z + 0 = -32z + -50z2 + 50z2
-247 + 226z = -32z + -50z2 + 50z2

Combine like terms: -50z2 + 50z2 = 0
-247 + 226z = -32z + 0
-247 + 226z = -32z

Solving
-247 + 226z = -32z

Solving for variable 'z'.

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

Add '32z' to each side of the equation.
-247 + 226z + 32z = -32z + 32z

Combine like terms: 226z + 32z = 258z
-247 + 258z = -32z + 32z

Combine like terms: -32z + 32z = 0
-247 + 258z = 0

Add '247' to each side of the equation.
-247 + 247 + 258z = 0 + 247

Combine like terms: -247 + 247 = 0
0 + 258z = 0 + 247
258z = 0 + 247

Combine like terms: 0 + 247 = 247
258z = 247

Divide each side by '258'.
z = 0.9573643411

Simplifying
z = 0.9573643411

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