5x^2+4=7x^2

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Solution for 5x^2+4=7x^2 equation:


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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