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Simplifying
4x2 + 5x = 5x + 16
Reorder the terms:
5x + 4x2 = 5x + 16
Reorder the terms:
5x + 4x2 = 16 + 5x
Add '-5x' to each side of the equation.
5x + -5x + 4x2 = 16 + 5x + -5x
Combine like terms: 5x + -5x = 0
0 + 4x2 = 16 + 5x + -5x
4x2 = 16 + 5x + -5x
Combine like terms: 5x + -5x = 0
4x2 = 16 + 0
4x2 = 16
Solving
4x2 = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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