(5X-3)(2X+1)=46-X

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Solution for (5X-3)(2X+1)=46-X equation: 


Simplifying
(5X + -3)(2X + 1) = 46 + -1X

Reorder the terms:
(-3 + 5X)(2X + 1) = 46 + -1X

Reorder the terms:
(-3 + 5X)(1 + 2X) = 46 + -1X

Multiply (-3 + 5X) * (1 + 2X)
(-3(1 + 2X) + 5X * (1 + 2X)) = 46 + -1X
((1 * -3 + 2X * -3) + 5X * (1 + 2X)) = 46 + -1X
((-3 + -6X) + 5X * (1 + 2X)) = 46 + -1X
(-3 + -6X + (1 * 5X + 2X * 5X)) = 46 + -1X
(-3 + -6X + (5X + 10X2)) = 46 + -1X

Combine like terms: -6X + 5X = -1X
(-3 + -1X + 10X2) = 46 + -1X

Add 'X' to each side of the equation.
-3 + -1X + X + 10X2 = 46 + -1X + X

Combine like terms: -1X + X = 0
-3 + 0 + 10X2 = 46 + -1X + X
-3 + 10X2 = 46 + -1X + X

Combine like terms: -1X + X = 0
-3 + 10X2 = 46 + 0
-3 + 10X2 = 46

Solving
-3 + 10X2 = 46

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 10X2 = 46 + 3

Combine like terms: -3 + 3 = 0
0 + 10X2 = 46 + 3
10X2 = 46 + 3

Combine like terms: 46 + 3 = 49
10X2 = 49

Divide each side by '10'.
X2 = 4.9

Simplifying
X2 = 4.9

Take the square root of each side:
X = {-2.213594362, 2.213594362}

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