4x^2-15x+11=-8x+8

Simple and best practice solution for 4x^2-15x+11=-8x+8 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 4x^2-15x+11=-8x+8 equation: 


Simplifying
4x2 + -15x + 11 = -8x + 8

Reorder the terms:
11 + -15x + 4x2 = -8x + 8

Reorder the terms:
11 + -15x + 4x2 = 8 + -8x

Solving
11 + -15x + 4x2 = 8 + -8x

Solving for variable 'x'.

Reorder the terms:
11 + -8 + -15x + 8x + 4x2 = 8 + -8x + -8 + 8x

Combine like terms: 11 + -8 = 3
3 + -15x + 8x + 4x2 = 8 + -8x + -8 + 8x

Combine like terms: -15x + 8x = -7x
3 + -7x + 4x2 = 8 + -8x + -8 + 8x

Reorder the terms:
3 + -7x + 4x2 = 8 + -8 + -8x + 8x

Combine like terms: 8 + -8 = 0
3 + -7x + 4x2 = 0 + -8x + 8x
3 + -7x + 4x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
3 + -7x + 4x2 = 0

Factor a trinomial.
(3 + -4x)(1 + -1x) = 0


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.75, 1}

See similar equations:

| 49x^2-84+36=0 | | 7(5a+b)+4(3a+4b)= | | 6e-6=15.6 | | (7x+3)9= | | 8x-6(x+8)= | | 83-6x=30x+23 | | 3x+9(x+7)= | | 8d+9=5d+30 | | =(x^2+y^2+1)(x^2+y^2+1) | | 2x^2+2y^2+2xy-10x-8y+14=0 | | =(4x-3y-1)(4x-3y-1) | | 2x^2-35x+2=0 | | =(3x^2-5y)(3x^2-5y)(3x^2-5y) | | =(2x^3y+z^2)(2x^3y+z^2)(2x^3y+z^2) | | 5x+3=(x-21) | | =(m^2n+8)(m^2n+8)(m^2n+8) | | =(m^2+8)(m^2+8)(m^2+8) | | =(5x-y)(2x-3) | | =(x+8y)(x-6y) | | 2(15-5)-(7-8)= | | 2(-31)= | | x^2-100x-50= | | x^2+22x-11= | | 3x+x-3=0 | | -42-(-11)= | | y=4x+80 | | 205-6x=39x+20 | | 81-18w+w^2= | | (3r-4)(4r-6)= | | x^2-18x-13=0 | | 53-5x=22x+23 | | -4(t-4)-(t+5)=10 |

Equations solver categories