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Simplifying
4x2 + 3 + -19 = 0
Reorder the terms:
3 + -19 + 4x2 = 0
Combine like terms: 3 + -19 = -16
-16 + 4x2 = 0
Solving
-16 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
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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