(2x-1)(5-3x)=3

Simple and best practice solution for (2x-1)(5-3x)=3 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2x-1)(5-3x)=3 equation: 


Simplifying
(2x + -1)(5 + -3x) = 3

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

Multiply (-1 + 2x) * (5 + -3x)
(-1(5 + -3x) + 2x * (5 + -3x)) = 3
((5 * -1 + -3x * -1) + 2x * (5 + -3x)) = 3
((-5 + 3x) + 2x * (5 + -3x)) = 3
(-5 + 3x + (5 * 2x + -3x * 2x)) = 3
(-5 + 3x + (10x + -6x2)) = 3

Combine like terms: 3x + 10x = 13x
(-5 + 13x + -6x2) = 3

Solving
-5 + 13x + -6x2 = 3

Solving for variable 'x'.

Reorder the terms:
-5 + -3 + 13x + -6x2 = 3 + -3

Combine like terms: -5 + -3 = -8
-8 + 13x + -6x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-8 + 13x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
1.333333333 + -2.166666667x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -2.166666667x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -2.166666667x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -2.166666667x + x2 = 0 + -1.333333333
-2.166666667x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-2.166666667x + x2 = -1.333333333

The x term is -2.166666667x.  Take half its coefficient (-1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
-2.166666667x + 1.173611113 + x2 = -1.333333333 + 1.173611113

Reorder the terms:
1.173611113 + -2.166666667x + x2 = -1.333333333 + 1.173611113

Combine like terms: -1.333333333 + 1.173611113 = -0.15972222
1.173611113 + -2.166666667x + x2 = -0.15972222

Factor a perfect square on the left side:
(x + -1.083333334)(x + -1.083333334) = -0.15972222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6(-5-5)=4x-5+20 | | -2(2c-4)=0.3(-12c+24) | | -6(3-e)=18 | | (16b-9)-5(3b+3)=-4 | | (-3x+7)-3y=18 | | 6x+6-2x=-34 | | -4z+10=-4z-2 | | 7p=10+8p | | 1+6x+x=-83 | | 1+8c=10+8c | | 8x-7y=7 | | y=10(0.2)t | | 3x+5+3x=-61 | | 6d=5d+9 | | 4c+10=5c | | 5+1.2(2d-1)=0.5 | | -8-2t+5+3t=9 | | -7-6x=-37 | | 7(b-8)=-112 | | -8-2x=-28 | | 4(x-2)+8(-x+3)=44 | | 10x^2-5x+11=-x^2+x+83 | | 198=-4x+2(-6x+15) | | M+80=0 | | (-28+8n)-5=-89 | | 3T+8=2T | | 3(2-2)+6=5(2+4) | | 3-5x=43 | | x^2+y^2+10y+18=0 | | b-2/3=-5/6 | | 1.2=4t | | 4+2n-1=8n+10-5n |

Equations solver categories