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Simplifying
4x2 + 9 + -45 = 0
Reorder the terms:
9 + -45 + 4x2 = 0
Combine like terms: 9 + -45 = -36
-36 + 4x2 = 0
Solving
-36 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '36' to each side of the equation.
-36 + 36 + 4x2 = 0 + 36
Combine like terms: -36 + 36 = 0
0 + 4x2 = 0 + 36
4x2 = 0 + 36
Combine like terms: 0 + 36 = 36
4x2 = 36
Divide each side by '4'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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