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Simplifying
5x2 + 2x + -25 = x2 + 2x + -9
Reorder the terms:
-25 + 2x + 5x2 = x2 + 2x + -9
Reorder the terms:
-25 + 2x + 5x2 = -9 + 2x + x2
Add '-2x' to each side of the equation.
-25 + 2x + -2x + 5x2 = -9 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
-25 + 0 + 5x2 = -9 + 2x + -2x + x2
-25 + 5x2 = -9 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
-25 + 5x2 = -9 + 0 + x2
-25 + 5x2 = -9 + x2
Solving
-25 + 5x2 = -9 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
-25 + 5x2 + -1x2 = -9 + x2 + -1x2
Combine like terms: 5x2 + -1x2 = 4x2
-25 + 4x2 = -9 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-25 + 4x2 = -9 + 0
-25 + 4x2 = -9
Add '25' to each side of the equation.
-25 + 25 + 4x2 = -9 + 25
Combine like terms: -25 + 25 = 0
0 + 4x2 = -9 + 25
4x2 = -9 + 25
Combine like terms: -9 + 25 = 16
4x2 = 16
Divide each side by '4'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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