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Simplifying
4x2 + -17x2 + 18 = 0
Reorder the terms:
18 + 4x2 + -17x2 = 0
Combine like terms: 4x2 + -17x2 = -13x2
18 + -13x2 = 0
Solving
18 + -13x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-18' to each side of the equation.
18 + -18 + -13x2 = 0 + -18
Combine like terms: 18 + -18 = 0
0 + -13x2 = 0 + -18
-13x2 = 0 + -18
Combine like terms: 0 + -18 = -18
-13x2 = -18
Divide each side by '-13'.
x2 = 1.384615385
Simplifying
x2 = 1.384615385
Take the square root of each side:
x = {-1.176696811, 1.176696811}
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