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Simplifying
4x2 + 4x + -49 = 4x
Reorder the terms:
-49 + 4x + 4x2 = 4x
Add '-4x' to each side of the equation.
-49 + 4x + -4x + 4x2 = 4x + -4x
Combine like terms: 4x + -4x = 0
-49 + 0 + 4x2 = 4x + -4x
-49 + 4x2 = 4x + -4x
Combine like terms: 4x + -4x = 0
-49 + 4x2 = 0
Solving
-49 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 4x2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 4x2 = 0 + 49
4x2 = 0 + 49
Combine like terms: 0 + 49 = 49
4x2 = 49
Divide each side by '4'.
x2 = 12.25
Simplifying
x2 = 12.25
Take the square root of each side:
x = {-3.5, 3.5}
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