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Simplifying
4x2 + 13x = 64 + 13x
Reorder the terms:
13x + 4x2 = 64 + 13x
Add '-13x' to each side of the equation.
13x + -13x + 4x2 = 64 + 13x + -13x
Combine like terms: 13x + -13x = 0
0 + 4x2 = 64 + 13x + -13x
4x2 = 64 + 13x + -13x
Combine like terms: 13x + -13x = 0
4x2 = 64 + 0
4x2 = 64
Solving
4x2 = 64
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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