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Simplifying
(15 * 2x)(8 * 2x) + -15 * 8 = 0
Multiply 15 * 2
(30x)(8 * 2x) + -15 * 8 = 0
Remove parenthesis around (30x)
30x(8 * 2x) + -15 * 8 = 0
Multiply 8 * 2
30x(16x) + -15 * 8 = 0
Remove parenthesis around (16x)
30x * 16x + -15 * 8 = 0
Reorder the terms for easier multiplication:
30 * 16x * x + -15 * 8 = 0
Multiply 30 * 16
480x * x + -15 * 8 = 0
Multiply x * x
480x2 + -15 * 8 = 0
Multiply -15 * 8
480x2 + -120 = 0
Reorder the terms:
-120 + 480x2 = 0
Solving
-120 + 480x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '120' to each side of the equation.
-120 + 120 + 480x2 = 0 + 120
Combine like terms: -120 + 120 = 0
0 + 480x2 = 0 + 120
480x2 = 0 + 120
Combine like terms: 0 + 120 = 120
480x2 = 120
Divide each side by '480'.
x2 = 0.25
Simplifying
x2 = 0.25
Take the square root of each side:
x = {-0.5, 0.5}
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