4x^2-28x+49=64

Solution for 4x^2-28x+49=64 equation:

Simplifying
4x2 + -28x + 49 = 64

Reorder the terms:
49 + -28x + 4x2 = 64

Solving
49 + -28x + 4x2 = 64

Solving for variable 'x'.

Reorder the terms:
49 + -64 + -28x + 4x2 = 64 + -64

Combine like terms: 49 + -64 = -15
-15 + -28x + 4x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-15 + -28x + 4x2 = 0

Factor a trinomial.
(-1 + -2x)(15 + -2x) = 0

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying
15 + -2x = 0

Solving
15 + -2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15

Combine like terms: 0 + -15 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5
Solution
x = {-0.5, 7.5}