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