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Simplifying
0 = (2x + 5)(2x + -5)
Reorder the terms:
0 = (5 + 2x)(2x + -5)
Reorder the terms:
0 = (5 + 2x)(-5 + 2x)
Multiply (5 + 2x) * (-5 + 2x)
0 = (5(-5 + 2x) + 2x * (-5 + 2x))
0 = ((-5 * 5 + 2x * 5) + 2x * (-5 + 2x))
0 = ((-25 + 10x) + 2x * (-5 + 2x))
0 = (-25 + 10x + (-5 * 2x + 2x * 2x))
0 = (-25 + 10x + (-10x + 4x2))
Combine like terms: 10x + -10x = 0
0 = (-25 + 0 + 4x2)
0 = (-25 + 4x2)
Solving
0 = -25 + 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.
0 + -4x2 = -25 + 4x2 + -4x2
Remove the zero:
-4x2 = -25 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-4x2 = -25 + 0
-4x2 = -25
Divide each side by '-4'.
x2 = 6.25
Simplifying
x2 = 6.25
Take the square root of each side:
x = {-2.5, 2.5}
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