(3+5x)(2-3x)=12-15x

Simple and best practice solution for (3+5x)(2-3x)=12-15x 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 (3+5x)(2-3x)=12-15x equation:


Simplifying
(3 + 5x)(2 + -3x) = 12 + -15x

Multiply (3 + 5x) * (2 + -3x)
(3(2 + -3x) + 5x * (2 + -3x)) = 12 + -15x
((2 * 3 + -3x * 3) + 5x * (2 + -3x)) = 12 + -15x
((6 + -9x) + 5x * (2 + -3x)) = 12 + -15x
(6 + -9x + (2 * 5x + -3x * 5x)) = 12 + -15x
(6 + -9x + (10x + -15x2)) = 12 + -15x

Combine like terms: -9x + 10x = 1x
(6 + 1x + -15x2) = 12 + -15x

Solving
6 + 1x + -15x2 = 12 + -15x

Solving for variable 'x'.

Reorder the terms:
6 + -12 + 1x + 15x + -15x2 = 12 + -15x + -12 + 15x

Combine like terms: 6 + -12 = -6
-6 + 1x + 15x + -15x2 = 12 + -15x + -12 + 15x

Combine like terms: 1x + 15x = 16x
-6 + 16x + -15x2 = 12 + -15x + -12 + 15x

Reorder the terms:
-6 + 16x + -15x2 = 12 + -12 + -15x + 15x

Combine like terms: 12 + -12 = 0
-6 + 16x + -15x2 = 0 + -15x + 15x
-6 + 16x + -15x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
-6 + 16x + -15x2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.4 + -1.066666667x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -1.066666667x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -1.066666667x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.066666667x + x2 = 0 + -0.4
-1.066666667x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-1.066666667x + x2 = -0.4

The x term is -1.066666667x.  Take half its coefficient (-0.5333333335).
Square it (0.2844444446) and add it to both sides.

Add '0.2844444446' to each side of the equation.
-1.066666667x + 0.2844444446 + x2 = -0.4 + 0.2844444446

Reorder the terms:
0.2844444446 + -1.066666667x + x2 = -0.4 + 0.2844444446

Combine like terms: -0.4 + 0.2844444446 = -0.1155555554
0.2844444446 + -1.066666667x + x2 = -0.1155555554

Factor a perfect square on the left side:
(x + -0.5333333335)(x + -0.5333333335) = -0.1155555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6x-7(1-x)=13.5solvex | | 3t+5=5t-4 | | 40=1.6x | | 2y+11=12y-3 | | -10v=0 | | log(27)(x)=1/3 | | 7k+8.5=k+16 | | 5g-5g= | | 50x+900=40x+2400 | | z/10=4/9 | | 1/5x-12 | | 3y-7x+3=-4x+5y-9 | | 3t+7=40+2t+112 | | n/9=6/9 | | 3x^3+81x=0 | | 38=3x+2 | | 2x-6=-4-5 | | 2x^4+11x^2+5=0 | | 4(x-1)=5(1+x) | | 12y+5y(y+-6)=4 | | 6-2/3x14 | | -11/13=k/13 | | 8(-5x-5)-3x=-83 | | 29=x/6 | | 10.6x+49.7-33.5x-44.8= | | 4+5x=8x+4 | | 0.4-0.2x+0.3=-0.21x | | 8*(4*x)= | | -1+(-1-6)-2=-10 | | 3/3=x% | | 3x-10=25-2x | | a^2x+(a-7)=(a+7)x |

Equations solver categories