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Simplifying
5x2 + -4 = -4x2
Reorder the terms:
-4 + 5x2 = -4x2
Solving
-4 + 5x2 = -4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x2' to each side of the equation.
-4 + 5x2 + 4x2 = -4x2 + 4x2
Combine like terms: 5x2 + 4x2 = 9x2
-4 + 9x2 = -4x2 + 4x2
Combine like terms: -4x2 + 4x2 = 0
-4 + 9x2 = 0
Add '4' to each side of the equation.
-4 + 4 + 9x2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 9x2 = 0 + 4
9x2 = 0 + 4
Combine like terms: 0 + 4 = 4
9x2 = 4
Divide each side by '9'.
x2 = 0.4444444444
Simplifying
x2 = 0.4444444444
Take the square root of each side:
x = {-0.666666667, 0.666666667}
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