28=(4x+4)(-x+7)

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Solution for 28=(4x+4)(-x+7) equation: 


Simplifying
28 = (4x + 4)(-1x + 7)

Reorder the terms:
28 = (4 + 4x)(-1x + 7)

Reorder the terms:
28 = (4 + 4x)(7 + -1x)

Multiply (4 + 4x) * (7 + -1x)
28 = (4(7 + -1x) + 4x * (7 + -1x))
28 = ((7 * 4 + -1x * 4) + 4x * (7 + -1x))
28 = ((28 + -4x) + 4x * (7 + -1x))
28 = (28 + -4x + (7 * 4x + -1x * 4x))
28 = (28 + -4x + (28x + -4x2))

Combine like terms: -4x + 28x = 24x
28 = (28 + 24x + -4x2)

Add '-28' to each side of the equation.
28 + -28 = 28 + 24x + -28 + -4x2

Combine like terms: 28 + -28 = 0
0 = 28 + 24x + -28 + -4x2

Reorder the terms:
0 = 28 + -28 + 24x + -4x2

Combine like terms: 28 + -28 = 0
0 = 0 + 24x + -4x2
0 = 24x + -4x2

Solving
0 = 24x + -4x2

Solving for variable 'x'.
Remove the zero:
-24x + 4x2 = 24x + -4x2 + -24x + 4x2

Reorder the terms:
-24x + 4x2 = 24x + -24x + -4x2 + 4x2

Combine like terms: 24x + -24x = 0
-24x + 4x2 = 0 + -4x2 + 4x2
-24x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-24x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-6 + x) = 0

Ignore the factor 4.

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 '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {0, 6}

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