(1.7-x)*(.8-x)-1.2*.3=0

Simple and best practice solution for (1.7-x)*(.8-x)-1.2*.3=0 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 (1.7-x)*(.8-x)-1.2*.3=0 equation:


Simplifying
(1.7 + -1x)(0.8 + -1x) + -1.2 * 0.3 = 0

Multiply (1.7 + -1x) * (0.8 + -1x)
(1.7(0.8 + -1x) + -1x * (0.8 + -1x)) + -1.2 * 0.3 = 0
((0.8 * 1.7 + -1x * 1.7) + -1x * (0.8 + -1x)) + -1.2 * 0.3 = 0
((1.36 + -1.7x) + -1x * (0.8 + -1x)) + -1.2 * 0.3 = 0
(1.36 + -1.7x + (0.8 * -1x + -1x * -1x)) + -1.2 * 0.3 = 0
(1.36 + -1.7x + (-0.8x + 1x2)) + -1.2 * 0.3 = 0

Combine like terms: -1.7x + -0.8x = -2.5x
(1.36 + -2.5x + 1x2) + -1.2 * 0.3 = 0

Multiply -1.2 * 0.3
1.36 + -2.5x + 1x2 + -0.36 = 0

Reorder the terms:
1.36 + -0.36 + -2.5x + 1x2 = 0

Combine like terms: 1.36 + -0.36 = 1
1 + -2.5x + 1x2 = 0

Solving
1 + -2.5x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -2.5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -2.5x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2.5x + x2 = 0 + -1
-2.5x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2.5x + x2 = -1

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -1 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -1 + 1.5625

Combine like terms: -1 + 1.5625 = 0.5625
1.5625 + -2.5x + x2 = 0.5625

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = 0.5625

Calculate the square root of the right side: 0.75

Break this problem into two subproblems by setting 
(x + -1.25) equal to 0.75 and -0.75.

Subproblem 1

x + -1.25 = 0.75 Simplifying x + -1.25 = 0.75 Reorder the terms: -1.25 + x = 0.75 Solving -1.25 + x = 0.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = 0.75 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = 0.75 + 1.25 x = 0.75 + 1.25 Combine like terms: 0.75 + 1.25 = 2 x = 2 Simplifying x = 2

Subproblem 2

x + -1.25 = -0.75 Simplifying x + -1.25 = -0.75 Reorder the terms: -1.25 + x = -0.75 Solving -1.25 + x = -0.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = -0.75 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = -0.75 + 1.25 x = -0.75 + 1.25 Combine like terms: -0.75 + 1.25 = 0.5 x = 0.5 Simplifying x = 0.5

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2, 0.5}

See similar equations:

| 85+x=178 | | 6x+5=1-1x-5 | | 10x-3y-(x+2y)+(x-5y)= | | 1/3k=15 | | (4w-3x-5)(6w+5)=0 | | 4x+2x=70 | | x+30=(6)x | | (.1-x)*(1.1-x)+.6(.15)=0 | | 20x+13y=4 | | M(2)=64 | | (2x+3y)-(x+4y)= | | 0.25x+0.5y=40 | | y^2=22y-121 | | 5+3(y-6)=4(y+2)-3 | | (.1-x)*(1.1-x)+6(.15)=0 | | √4x^2/3y | | x^2-1.2x+1.01=0 | | 6y^2-13y-15=0 | | -5=4+m | | 3y+5x=z | | 7+2=4n+17 | | 5(r-3)=30 | | 48x^3-52x^2+12x=0 | | 1/i^-15 | | t+14=25 | | 1/1^-15 | | 5(r-3)=69 | | sin(x)-cos(x)=0.5 | | cos^2(x)=0.75/2 | | 12z^3-5z^2-3z=0 | | 2(a+5)=30 | | (4w-3x-5)(6w+5)= |

Equations solver categories