2(x+7)(x-1)=4x^2+4

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Solution for 2(x+7)(x-1)=4x^2+4 equation:


Simplifying
2(x + 7)(x + -1) = 4x2 + 4

Reorder the terms:
2(7 + x)(x + -1) = 4x2 + 4

Reorder the terms:
2(7 + x)(-1 + x) = 4x2 + 4

Multiply (7 + x) * (-1 + x)
2(7(-1 + x) + x(-1 + x)) = 4x2 + 4
2((-1 * 7 + x * 7) + x(-1 + x)) = 4x2 + 4
2((-7 + 7x) + x(-1 + x)) = 4x2 + 4
2(-7 + 7x + (-1 * x + x * x)) = 4x2 + 4
2(-7 + 7x + (-1x + x2)) = 4x2 + 4

Combine like terms: 7x + -1x = 6x
2(-7 + 6x + x2) = 4x2 + 4
(-7 * 2 + 6x * 2 + x2 * 2) = 4x2 + 4
(-14 + 12x + 2x2) = 4x2 + 4

Reorder the terms:
-14 + 12x + 2x2 = 4 + 4x2

Solving
-14 + 12x + 2x2 = 4 + 4x2

Solving for variable 'x'.

Reorder the terms:
-14 + -4 + 12x + 2x2 + -4x2 = 4 + 4x2 + -4 + -4x2

Combine like terms: -14 + -4 = -18
-18 + 12x + 2x2 + -4x2 = 4 + 4x2 + -4 + -4x2

Combine like terms: 2x2 + -4x2 = -2x2
-18 + 12x + -2x2 = 4 + 4x2 + -4 + -4x2

Reorder the terms:
-18 + 12x + -2x2 = 4 + -4 + 4x2 + -4x2

Combine like terms: 4 + -4 = 0
-18 + 12x + -2x2 = 0 + 4x2 + -4x2
-18 + 12x + -2x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-18 + 12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + 6x + -1x2) = 0

Factor a trinomial.
2((-3 + x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

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

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}

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