2x^2-7x+8=8

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Solution for 2x^2-7x+8=8 equation: 


Simplifying
2x2 + -7x + 8 = 8

Reorder the terms:
8 + -7x + 2x2 = 8

Add '-8' to each side of the equation.
8 + -7x + -8 + 2x2 = 8 + -8

Reorder the terms:
8 + -8 + -7x + 2x2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + -7x + 2x2 = 8 + -8
-7x + 2x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-7x + 2x2 = 0

Solving
-7x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-7 + 2x)' equal to zero and attempt to solve:

Simplifying
-7 + 2x = 0

Solving
-7 + 2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 0 + 7
2x = 0 + 7

Combine like terms: 0 + 7 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0, 3.5}

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