6x^2+13x+42.25=28+42.25

Simple and best practice solution for 6x^2+13x+42.25=28+42.25 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 6x^2+13x+42.25=28+42.25 equation: 


Simplifying
6x2 + 13x + 42.25 = 28 + 42.25

Reorder the terms:
42.25 + 13x + 6x2 = 28 + 42.25

Combine like terms: 28 + 42.25 = 70.25
42.25 + 13x + 6x2 = 70.25

Solving
42.25 + 13x + 6x2 = 70.25

Solving for variable 'x'.

Reorder the terms:
42.25 + -70.25 + 13x + 6x2 = 70.25 + -70.25

Combine like terms: 42.25 + -70.25 = -28
-28 + 13x + 6x2 = 70.25 + -70.25

Combine like terms: 70.25 + -70.25 = 0.00
-28 + 13x + 6x2 = 0.00

Factor a trinomial.
(-7 + -2x)(4 + -3x) = 0.00


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

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

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-3.5, 1.333333333}

See similar equations:

| 5-5-3t= | | 19-n=38 | | 0.54(12)+0.06x=0.18(6+x) | | 5(3x-y)=0 | | -0.5w=-35 | | 4-3a=5a+28 | | 5x+20=6(5x-5) | | 0.46-0.642= | | 3y^4+7y^2-54=0 | | 5-5x=16-(6x+4) | | 0.5x-0.3(20+x)=0.4(20) | | (4+x)+(2+y)= | | 6(6+a)=0 | | x+3/5=5/3x | | -5x=-3x+20 | | 0=48y-96y^2 | | x+144+x+111+x=9327 | | -12x+12=-12 | | x-0.30x=26.25 | | 6y-9=2x+5 | | 8y+52=12 | | 3b-9-8b=21 | | 3x^2-8x-100=0 | | k^2-12k+40=0 | | 2x^2+44x+234=0 | | 2*(y+2)=45 | | 12x-y+15=0 | | -7=7n | | 0.71(21y+7)=0.2(18x+27) | | 5-3x=4-3(4-2x) | | 0=-2x^3+6x^2-6x | | 3y+2y+3*(y+1)=10 |

Equations solver categories