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Simplifying
4x * -30x + 45 = 0
Reorder the terms for easier multiplication:
4 * -30x * x + 45 = 0
Multiply 4 * -30
-120x * x + 45 = 0
Multiply x * x
-120x2 + 45 = 0
Reorder the terms:
45 + -120x2 = 0
Solving
45 + -120x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-45' to each side of the equation.
45 + -45 + -120x2 = 0 + -45
Combine like terms: 45 + -45 = 0
0 + -120x2 = 0 + -45
-120x2 = 0 + -45
Combine like terms: 0 + -45 = -45
-120x2 = -45
Divide each side by '-120'.
x2 = 0.375
Simplifying
x2 = 0.375
Take the square root of each side:
x = {-0.612372436, 0.612372436}
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