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Simplifying
0 = (5x + -4)(5x + 4)
Reorder the terms:
0 = (-4 + 5x)(5x + 4)
Reorder the terms:
0 = (-4 + 5x)(4 + 5x)
Multiply (-4 + 5x) * (4 + 5x)
0 = (-4(4 + 5x) + 5x * (4 + 5x))
0 = ((4 * -4 + 5x * -4) + 5x * (4 + 5x))
0 = ((-16 + -20x) + 5x * (4 + 5x))
0 = (-16 + -20x + (4 * 5x + 5x * 5x))
0 = (-16 + -20x + (20x + 25x2))
Combine like terms: -20x + 20x = 0
0 = (-16 + 0 + 25x2)
0 = (-16 + 25x2)
Solving
0 = -16 + 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.
0 + -25x2 = -16 + 25x2 + -25x2
Remove the zero:
-25x2 = -16 + 25x2 + -25x2
Combine like terms: 25x2 + -25x2 = 0
-25x2 = -16 + 0
-25x2 = -16
Divide each side by '-25'.
x2 = 0.64
Simplifying
x2 = 0.64
Take the square root of each side:
x = {-0.8, 0.8}
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