3e^2-160=8(e-10)

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Solution for 3e^2-160=8(e-10) equation: 


Simplifying
3e2 + -160 = 8(e + -10)

Reorder the terms:
-160 + 3e2 = 8(e + -10)

Reorder the terms:
-160 + 3e2 = 8(-10 + e)
-160 + 3e2 = (-10 * 8 + e * 8)
-160 + 3e2 = (-80 + 8e)

Solving
-160 + 3e2 = -80 + 8e

Solving for variable 'e'.

Reorder the terms:
-160 + 80 + -8e + 3e2 = -80 + 8e + 80 + -8e

Combine like terms: -160 + 80 = -80
-80 + -8e + 3e2 = -80 + 8e + 80 + -8e

Reorder the terms:
-80 + -8e + 3e2 = -80 + 80 + 8e + -8e

Combine like terms: -80 + 80 = 0
-80 + -8e + 3e2 = 0 + 8e + -8e
-80 + -8e + 3e2 = 8e + -8e

Combine like terms: 8e + -8e = 0
-80 + -8e + 3e2 = 0

Factor a trinomial.
(-4 + -1e)(20 + -3e) = 0


Subproblem 1
Set the factor '(-4 + -1e)' equal to zero and attempt to solve:

Simplifying
-4 + -1e = 0

Solving
-4 + -1e = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1e = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1e = 0 + 4
-1e = 0 + 4

Combine like terms: 0 + 4 = 4
-1e = 4

Divide each side by '-1'.
e = -4

Simplifying
e = -4

Subproblem 2
Set the factor '(20 + -3e)' equal to zero and attempt to solve:

Simplifying
20 + -3e = 0

Solving
20 + -3e = 0

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

Add '-20' to each side of the equation.
20 + -20 + -3e = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -3e = 0 + -20
-3e = 0 + -20

Combine like terms: 0 + -20 = -20
-3e = -20

Divide each side by '-3'.
e = 6.666666667

Simplifying
e = 6.666666667
Solution
e = {-4, 6.666666667}

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