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Simplifying
(3x + 0.25)(6x + -0.5) = 0
Reorder the terms:
(0.25 + 3x)(6x + -0.5) = 0
Reorder the terms:
(0.25 + 3x)(-0.5 + 6x) = 0
Multiply (0.25 + 3x) * (-0.5 + 6x)
(0.25(-0.5 + 6x) + 3x * (-0.5 + 6x)) = 0
((-0.5 * 0.25 + 6x * 0.25) + 3x * (-0.5 + 6x)) = 0
((-0.125 + 1.5x) + 3x * (-0.5 + 6x)) = 0
(-0.125 + 1.5x + (-0.5 * 3x + 6x * 3x)) = 0
(-0.125 + 1.5x + (-1.5x + 18x2)) = 0
Combine like terms: 1.5x + -1.5x = 0.0
(-0.125 + 0.0 + 18x2) = 0
(-0.125 + 18x2) = 0
Solving
-0.125 + 18x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.125' to each side of the equation.
-0.125 + 0.125 + 18x2 = 0 + 0.125
Combine like terms: -0.125 + 0.125 = 0.000
0.000 + 18x2 = 0 + 0.125
18x2 = 0 + 0.125
Combine like terms: 0 + 0.125 = 0.125
18x2 = 0.125
Divide each side by '18'.
x2 = 0.006944444444
Simplifying
x2 = 0.006944444444
Take the square root of each side:
x = {-0.083333333, 0.083333333}
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