2f(5f-2)-10(f^2-3f+6)=-8f(f+4)+4(2f^2-7f)

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Solution for 2f(5f-2)-10(f^2-3f+6)=-8f(f+4)+4(2f^2-7f) equation: 


Simplifying
2f(5f + -2) + -10(f2 + -3f + 6) = -8f(f + 4) + 4(2f2 + -7f)

Reorder the terms:
2f(-2 + 5f) + -10(f2 + -3f + 6) = -8f(f + 4) + 4(2f2 + -7f)
(-2 * 2f + 5f * 2f) + -10(f2 + -3f + 6) = -8f(f + 4) + 4(2f2 + -7f)
(-4f + 10f2) + -10(f2 + -3f + 6) = -8f(f + 4) + 4(2f2 + -7f)

Reorder the terms:
-4f + 10f2 + -10(6 + -3f + f2) = -8f(f + 4) + 4(2f2 + -7f)
-4f + 10f2 + (6 * -10 + -3f * -10 + f2 * -10) = -8f(f + 4) + 4(2f2 + -7f)
-4f + 10f2 + (-60 + 30f + -10f2) = -8f(f + 4) + 4(2f2 + -7f)

Reorder the terms:
-60 + -4f + 30f + 10f2 + -10f2 = -8f(f + 4) + 4(2f2 + -7f)

Combine like terms: -4f + 30f = 26f
-60 + 26f + 10f2 + -10f2 = -8f(f + 4) + 4(2f2 + -7f)

Combine like terms: 10f2 + -10f2 = 0
-60 + 26f + 0 = -8f(f + 4) + 4(2f2 + -7f)
-60 + 26f = -8f(f + 4) + 4(2f2 + -7f)

Reorder the terms:
-60 + 26f = -8f(4 + f) + 4(2f2 + -7f)
-60 + 26f = (4 * -8f + f * -8f) + 4(2f2 + -7f)
-60 + 26f = (-32f + -8f2) + 4(2f2 + -7f)

Reorder the terms:
-60 + 26f = -32f + -8f2 + 4(-7f + 2f2)
-60 + 26f = -32f + -8f2 + (-7f * 4 + 2f2 * 4)
-60 + 26f = -32f + -8f2 + (-28f + 8f2)

Reorder the terms:
-60 + 26f = -32f + -28f + -8f2 + 8f2

Combine like terms: -32f + -28f = -60f
-60 + 26f = -60f + -8f2 + 8f2

Combine like terms: -8f2 + 8f2 = 0
-60 + 26f = -60f + 0
-60 + 26f = -60f

Solving
-60 + 26f = -60f

Solving for variable 'f'.

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

Add '60f' to each side of the equation.
-60 + 26f + 60f = -60f + 60f

Combine like terms: 26f + 60f = 86f
-60 + 86f = -60f + 60f

Combine like terms: -60f + 60f = 0
-60 + 86f = 0

Add '60' to each side of the equation.
-60 + 60 + 86f = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 86f = 0 + 60
86f = 0 + 60

Combine like terms: 0 + 60 = 60
86f = 60

Divide each side by '86'.
f = 0.6976744186

Simplifying
f = 0.6976744186

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