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Simplifying
(4x + -0.1)(4x + 0.1) = 0
Reorder the terms:
(-0.1 + 4x)(4x + 0.1) = 0
Reorder the terms:
(-0.1 + 4x)(0.1 + 4x) = 0
Multiply (-0.1 + 4x) * (0.1 + 4x)
(-0.1(0.1 + 4x) + 4x * (0.1 + 4x)) = 0
((0.1 * -0.1 + 4x * -0.1) + 4x * (0.1 + 4x)) = 0
((-0.01 + -0.4x) + 4x * (0.1 + 4x)) = 0
(-0.01 + -0.4x + (0.1 * 4x + 4x * 4x)) = 0
(-0.01 + -0.4x + (0.4x + 16x2)) = 0
Combine like terms: -0.4x + 0.4x = 0.0
(-0.01 + 0.0 + 16x2) = 0
(-0.01 + 16x2) = 0
Solving
-0.01 + 16x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.01' to each side of the equation.
-0.01 + 0.01 + 16x2 = 0 + 0.01
Combine like terms: -0.01 + 0.01 = 0.00
0.00 + 16x2 = 0 + 0.01
16x2 = 0 + 0.01
Combine like terms: 0 + 0.01 = 0.01
16x2 = 0.01
Divide each side by '16'.
x2 = 0.000625
Simplifying
x2 = 0.000625
Take the square root of each side:
x = {-0.025, 0.025}
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