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