4x^2-7x+6=-2x+5

Simple and best practice solution for 4x^2-7x+6=-2x+5 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^2-7x+6=-2x+5 equation: 


Simplifying
4x2 + -7x + 6 = -2x + 5

Reorder the terms:
6 + -7x + 4x2 = -2x + 5

Reorder the terms:
6 + -7x + 4x2 = 5 + -2x

Solving
6 + -7x + 4x2 = 5 + -2x

Solving for variable 'x'.

Reorder the terms:
6 + -5 + -7x + 2x + 4x2 = 5 + -2x + -5 + 2x

Combine like terms: 6 + -5 = 1
1 + -7x + 2x + 4x2 = 5 + -2x + -5 + 2x

Combine like terms: -7x + 2x = -5x
1 + -5x + 4x2 = 5 + -2x + -5 + 2x

Reorder the terms:
1 + -5x + 4x2 = 5 + -5 + -2x + 2x

Combine like terms: 5 + -5 = 0
1 + -5x + 4x2 = 0 + -2x + 2x
1 + -5x + 4x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
1 + -5x + 4x2 = 0

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


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

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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 = {0.25, 1}

See similar equations:

| Y=1/3x+1 | | w^2+8w-65=0 | | -78-10X=10X | | x^2+10x+7=5x+1 | | 7x-4(x-2)=129 | | 8*4*x=v | | 1.2x-3.6+0.3x=2.4 | | 7x^2-4x-15=0 | | 0.1x+.09(36-x)=288 | | 7x+15=8x | | 5w^2+9w=-4 | | 0=5+17 | | 2c^2+17c+21=0 | | 3000=5(3)m | | 3c^2+11c+4=0 | | -8x^3-60x^2-28x=0 | | 75-4x=13x+19 | | 2/4x+3=5 | | -1.5+v=-3.3 | | 8x-(12x^2+5x)=0 | | -10x^2+38x+8=0 | | gx+x=r | | n/-8-8=-23 | | 4x^2-13x+10=8x+5 | | 5-x+3x=2x+3+x-5 | | 2/4+3=5 | | 6x=2x+3+1 | | 20-16t(16t)+32t=t | | n-3/4=-2.75 | | 20-16t(16t)+32t= | | 5m+13=-52+4m | | 7x^2-2x+5=0 |

Equations solver categories