7x^2+3x-13=43-38x

Simple and best practice solution for 7x^2+3x-13=43-38x 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 7x^2+3x-13=43-38x equation: 


Simplifying
7x2 + 3x + -13 = 43 + -38x

Reorder the terms:
-13 + 3x + 7x2 = 43 + -38x

Solving
-13 + 3x + 7x2 = 43 + -38x

Solving for variable 'x'.

Reorder the terms:
-13 + -43 + 3x + 38x + 7x2 = 43 + -38x + -43 + 38x

Combine like terms: -13 + -43 = -56
-56 + 3x + 38x + 7x2 = 43 + -38x + -43 + 38x

Combine like terms: 3x + 38x = 41x
-56 + 41x + 7x2 = 43 + -38x + -43 + 38x

Reorder the terms:
-56 + 41x + 7x2 = 43 + -43 + -38x + 38x

Combine like terms: 43 + -43 = 0
-56 + 41x + 7x2 = 0 + -38x + 38x
-56 + 41x + 7x2 = -38x + 38x

Combine like terms: -38x + 38x = 0
-56 + 41x + 7x2 = 0

Factor a trinomial.
(-7 + -1x)(8 + -7x) = 0


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

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-7, 1.142857143}

See similar equations:

| X^3+6x+9=0 | | 5.3x+7-8.3x=4 | | 4/32/3= | | 4a^3-b=0 | | 40x+20(1.5x)=969.58 | | 3x^6-18x^5-120x^4=0 | | x*6=23.94 | | C+489.50=756.80 | | 3x^2-.5x-80.5=0 | | 66n^2+30n=0 | | 4z^2+19z+4=9 | | 4(3x+8)=5(4x-8) | | x/3+2=20 | | -7x--2=24-9x | | x*12=2070.80 | | 10t-4u+7u-6t= | | a=lwfora | | x^2+10x+24=P | | 16/25 | | 3.2*N=0.96 | | n^2+18n-40=0 | | h=-16t^2-14t+2 | | 10x^2-9x^2-1368=0 | | -7n+2+13=10 | | 2y=85-3x | | 5h-1.2=83 | | 5x(3+5x)=0 | | ln(22)/ln(2) | | 6p^2+17pq-14q^2=0 | | 14+x-10=-10 | | x-2(-x)-(-x)=2(-x+5)+2x+18 | | 4.3+12.7=60 |

Equations solver categories