968=(8+2x)(30+2x)

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Solution for 968=(8+2x)(30+2x) equation: 


Simplifying
968 = (8 + 2x)(30 + 2x)

Multiply (8 + 2x) * (30 + 2x)
968 = (8(30 + 2x) + 2x * (30 + 2x))
968 = ((30 * 8 + 2x * 8) + 2x * (30 + 2x))
968 = ((240 + 16x) + 2x * (30 + 2x))
968 = (240 + 16x + (30 * 2x + 2x * 2x))
968 = (240 + 16x + (60x + 4x2))

Combine like terms: 16x + 60x = 76x
968 = (240 + 76x + 4x2)

Solving
968 = 240 + 76x + 4x2

Solving for variable 'x'.

Combine like terms: 968 + -240 = 728
728 + -76x + -4x2 = 240 + 76x + 4x2 + -240 + -76x + -4x2

Reorder the terms:
728 + -76x + -4x2 = 240 + -240 + 76x + -76x + 4x2 + -4x2

Combine like terms: 240 + -240 = 0
728 + -76x + -4x2 = 0 + 76x + -76x + 4x2 + -4x2
728 + -76x + -4x2 = 76x + -76x + 4x2 + -4x2

Combine like terms: 76x + -76x = 0
728 + -76x + -4x2 = 0 + 4x2 + -4x2
728 + -76x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
728 + -76x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(182 + -19x + -1x2) = 0

Factor a trinomial.
4((7 + -1x)(26 + x)) = 0

Ignore the factor 4.

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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(26 + x)' equal to zero and attempt to solve:

Simplifying
26 + x = 0

Solving
26 + x = 0

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

Add '-26' to each side of the equation.
26 + -26 + x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + x = 0 + -26
x = 0 + -26

Combine like terms: 0 + -26 = -26
x = -26

Simplifying
x = -26
Solution
x = {7, -26}

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