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Simplifying
14x2 + 5 + -7x2 + -24 + 4 = 0
Reorder the terms:
5 + -24 + 4 + 14x2 + -7x2 = 0
Combine like terms: 5 + -24 = -19
-19 + 4 + 14x2 + -7x2 = 0
Combine like terms: -19 + 4 = -15
-15 + 14x2 + -7x2 = 0
Combine like terms: 14x2 + -7x2 = 7x2
-15 + 7x2 = 0
Solving
-15 + 7x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 7x2 = 0 + 15
Combine like terms: -15 + 15 = 0
0 + 7x2 = 0 + 15
7x2 = 0 + 15
Combine like terms: 0 + 15 = 15
7x2 = 15
Divide each side by '7'.
x2 = 2.142857143
Simplifying
x2 = 2.142857143
Take the square root of each side:
x = {-1.463850109, 1.463850109}
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