56=4x^2-32x+84

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Solution for 56=4x^2-32x+84 equation: 


Simplifying
56 = 4x2 + -32x + 84

Reorder the terms:
56 = 84 + -32x + 4x2

Solving
56 = 84 + -32x + 4x2

Solving for variable 'x'.

Combine like terms: 56 + -84 = -28
-28 + 32x + -4x2 = 84 + -32x + 4x2 + -84 + 32x + -4x2

Reorder the terms:
-28 + 32x + -4x2 = 84 + -84 + -32x + 32x + 4x2 + -4x2

Combine like terms: 84 + -84 = 0
-28 + 32x + -4x2 = 0 + -32x + 32x + 4x2 + -4x2
-28 + 32x + -4x2 = -32x + 32x + 4x2 + -4x2

Combine like terms: -32x + 32x = 0
-28 + 32x + -4x2 = 0 + 4x2 + -4x2
-28 + 32x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-28 + 32x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + 8x + -1x2) = 0

Factor a trinomial.
4((-7 + x)(1 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve:

Simplifying
-7 + x = 0

Solving
-7 + x = 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 + x = 0 + 7

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

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

Simplifying
x = 7

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {7, 1}

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