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Simplifying
4x2 + -14x2 + 12 = 0
Reorder the terms:
12 + 4x2 + -14x2 = 0
Combine like terms: 4x2 + -14x2 = -10x2
12 + -10x2 = 0
Solving
12 + -10x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + -10x2 = 0 + -12
Combine like terms: 12 + -12 = 0
0 + -10x2 = 0 + -12
-10x2 = 0 + -12
Combine like terms: 0 + -12 = -12
-10x2 = -12
Divide each side by '-10'.
x2 = 1.2
Simplifying
x2 = 1.2
Take the square root of each side:
x = {-1.095445115, 1.095445115}
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