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Simplifying
4x + -1 = (3x * 3x) + 4x + -4
Reorder the terms:
-1 + 4x = (3x * 3x) + 4x + -4
Reorder the terms for easier multiplication:
-1 + 4x = (3 * 3x * x) + 4x + -4
Multiply 3 * 3
-1 + 4x = (9x * x) + 4x + -4
Multiply x * x
-1 + 4x = (9x2) + 4x + -4
Reorder the terms:
-1 + 4x = -4 + 4x + (9x2)
Add '-4x' to each side of the equation.
-1 + 4x + -4x = -4 + 4x + -4x + (9x2)
Combine like terms: 4x + -4x = 0
-1 + 0 = -4 + 4x + -4x + (9x2)
-1 = -4 + 4x + -4x + (9x2)
Combine like terms: 4x + -4x = 0
-1 = -4 + 0 + (9x2)
-1 = -4 + (9x2)
Solving
-1 = -4 + (9x2)
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '(-9x2)' to each side of the equation.
-1 + (-9x2) = -4 + (9x2) + (-9x2)
Combine like terms: (9x2) + (-9x2) = 0
-1 + (-9x2) = -4 + 0
-1 + (-9x2) = -4
Add '1' to each side of the equation.
-1 + 1 + (-9x2) = -4 + 1
Combine like terms: -1 + 1 = 0
0 + (-9x2) = -4 + 1
(-9x2) = -4 + 1
Combine like terms: -4 + 1 = -3
(-9x2) = -3
Divide each side by '-9'.
x2 = 0.3333333333
Simplifying
x2 = 0.3333333333
Take the square root of each side:
x = {-0.577350269, 0.577350269}
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