4x^2-28x+49=49

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Solution for 4x^2-28x+49=49 equation: 


Simplifying
4x2 + -28x + 49 = 49

Reorder the terms:
49 + -28x + 4x2 = 49

Add '-49' to each side of the equation.
49 + -28x + -49 + 4x2 = 49 + -49

Reorder the terms:
49 + -49 + -28x + 4x2 = 49 + -49

Combine like terms: 49 + -49 = 0
0 + -28x + 4x2 = 49 + -49
-28x + 4x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-28x + 4x2 = 0

Solving
-28x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-7 + 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 '(-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
Solution
x = {0, 7}

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