4x^2+3x+10=8x+9

Simple and best practice solution for 4x^2+3x+10=8x+9 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+3x+10=8x+9 equation: 


Simplifying
4x2 + 3x + 10 = 8x + 9

Reorder the terms:
10 + 3x + 4x2 = 8x + 9

Reorder the terms:
10 + 3x + 4x2 = 9 + 8x

Solving
10 + 3x + 4x2 = 9 + 8x

Solving for variable 'x'.

Reorder the terms:
10 + -9 + 3x + -8x + 4x2 = 9 + 8x + -9 + -8x

Combine like terms: 10 + -9 = 1
1 + 3x + -8x + 4x2 = 9 + 8x + -9 + -8x

Combine like terms: 3x + -8x = -5x
1 + -5x + 4x2 = 9 + 8x + -9 + -8x

Reorder the terms:
1 + -5x + 4x2 = 9 + -9 + 8x + -8x

Combine like terms: 9 + -9 = 0
1 + -5x + 4x2 = 0 + 8x + -8x
1 + -5x + 4x2 = 8x + -8x

Combine like terms: 8x + -8x = 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:

| 20=4(u-5)-8u | | (x+2)(x-7)(3x-8)=0 | | 14x-5=65 | | 0.1(80)+0.5x=0.3(80+x) | | 6x+36=10x-25 | | 188-2X=43X+18 | | -15=n-40 | | 8p-3p=25 | | x+x+5439=210355 | | 6(x-9)=22 | | 7x+19=5x+41 | | 3x^3=8 | | x+13=-24 | | 12x=9-15 | | -5(4a+3)-8= | | x+-41x+78=95 | | 56=8x+6x | | 42-5x=4x+18 | | -0.5x-0.6=0.2x | | 2(3x+5)=28 | | 11x^2+23x=-2 | | 5-8x=28-15x | | 4x(2x-1)=2 | | 3x+8-10x=22x+12 | | 0=5(t^4-4t^3+100) | | n+20=4n-10 | | (3x-10)*(-0.5)=1.5*(2x+8) | | 3.2x+5.4=9.9 | | -6+4(-2x-5)=-25-9x | | 12.8=x-3.5 | | -7b+3=-6b+4 | | 4x^3-44x=0 |

Equations solver categories