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Simplifying
5x2 + 4 = 7x2
Reorder the terms:
4 + 5x2 = 7x2
Solving
4 + 5x2 = 7x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x2' to each side of the equation.
4 + 5x2 + -7x2 = 7x2 + -7x2
Combine like terms: 5x2 + -7x2 = -2x2
4 + -2x2 = 7x2 + -7x2
Combine like terms: 7x2 + -7x2 = 0
4 + -2x2 = 0
Add '-4' to each side of the equation.
4 + -4 + -2x2 = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -2x2 = 0 + -4
-2x2 = 0 + -4
Combine like terms: 0 + -4 = -4
-2x2 = -4
Divide each side by '-2'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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