3x^2+25=4x^2

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Solution for 3x^2+25=4x^2 equation:


Simplifying
3x2 + 25 = 4x2

Reorder the terms:
25 + 3x2 = 4x2

Solving
25 + 3x2 = 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.
25 + 3x2 + -4x2 = 4x2 + -4x2

Combine like terms: 3x2 + -4x2 = -1x2
25 + -1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
25 + -1x2 = 0

Add '-25' to each side of the equation.
25 + -25 + -1x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x2 = 0 + -25
-1x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1x2 = -25

Divide each side by '-1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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