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Simplifying
4x2 + 225 = 25x2 + -144
Reorder the terms:
225 + 4x2 = 25x2 + -144
Reorder the terms:
225 + 4x2 = -144 + 25x2
Solving
225 + 4x2 = -144 + 25x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25x2' to each side of the equation.
225 + 4x2 + -25x2 = -144 + 25x2 + -25x2
Combine like terms: 4x2 + -25x2 = -21x2
225 + -21x2 = -144 + 25x2 + -25x2
Combine like terms: 25x2 + -25x2 = 0
225 + -21x2 = -144 + 0
225 + -21x2 = -144
Add '-225' to each side of the equation.
225 + -225 + -21x2 = -144 + -225
Combine like terms: 225 + -225 = 0
0 + -21x2 = -144 + -225
-21x2 = -144 + -225
Combine like terms: -144 + -225 = -369
-21x2 = -369
Divide each side by '-21'.
x2 = 17.57142857
Simplifying
x2 = 17.57142857
Take the square root of each side:
x = {-4.191828786, 4.191828786}
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