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Simplifying
(0.4x + 3)(0.4x + -3) = 0
Reorder the terms:
(3 + 0.4x)(0.4x + -3) = 0
Reorder the terms:
(3 + 0.4x)(-3 + 0.4x) = 0
Multiply (3 + 0.4x) * (-3 + 0.4x)
(3(-3 + 0.4x) + 0.4x * (-3 + 0.4x)) = 0
((-3 * 3 + 0.4x * 3) + 0.4x * (-3 + 0.4x)) = 0
((-9 + 1.2x) + 0.4x * (-3 + 0.4x)) = 0
(-9 + 1.2x + (-3 * 0.4x + 0.4x * 0.4x)) = 0
(-9 + 1.2x + (-1.2x + 0.16x2)) = 0
Combine like terms: 1.2x + -1.2x = 0.0
(-9 + 0.0 + 0.16x2) = 0
(-9 + 0.16x2) = 0
Solving
-9 + 0.16x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 0.16x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 0.16x2 = 0 + 9
0.16x2 = 0 + 9
Combine like terms: 0 + 9 = 9
0.16x2 = 9
Divide each side by '0.16'.
x2 = 56.25
Simplifying
x2 = 56.25
Take the square root of each side:
x = {-7.5, 7.5}
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