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Simplifying
4x2 + 4 = 5x2 + -2
Reorder the terms:
4 + 4x2 = 5x2 + -2
Reorder the terms:
4 + 4x2 = -2 + 5x2
Solving
4 + 4x2 = -2 + 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
4 + 4x2 + -5x2 = -2 + 5x2 + -5x2
Combine like terms: 4x2 + -5x2 = -1x2
4 + -1x2 = -2 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
4 + -1x2 = -2 + 0
4 + -1x2 = -2
Add '-4' to each side of the equation.
4 + -4 + -1x2 = -2 + -4
Combine like terms: 4 + -4 = 0
0 + -1x2 = -2 + -4
-1x2 = -2 + -4
Combine like terms: -2 + -4 = -6
-1x2 = -6
Divide each side by '-1'.
x2 = 6
Simplifying
x2 = 6
Take the square root of each side:
x = {-2.449489743, 2.449489743}
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