7x^2+11x-3=15-4x

Simple and best practice solution for 7x^2+11x-3=15-4x 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+11x-3=15-4x equation: 


Simplifying
7x2 + 11x + -3 = 15 + -4x

Reorder the terms:
-3 + 11x + 7x2 = 15 + -4x

Solving
-3 + 11x + 7x2 = 15 + -4x

Solving for variable 'x'.

Reorder the terms:
-3 + -15 + 11x + 4x + 7x2 = 15 + -4x + -15 + 4x

Combine like terms: -3 + -15 = -18
-18 + 11x + 4x + 7x2 = 15 + -4x + -15 + 4x

Combine like terms: 11x + 4x = 15x
-18 + 15x + 7x2 = 15 + -4x + -15 + 4x

Reorder the terms:
-18 + 15x + 7x2 = 15 + -15 + -4x + 4x

Combine like terms: 15 + -15 = 0
-18 + 15x + 7x2 = 0 + -4x + 4x
-18 + 15x + 7x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 15x + 7x2 = 0

Factor a trinomial.
(-3 + -1x)(6 + -7x) = 0


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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-3, 0.8571428571}

See similar equations:

| 4.44+14.9d=-9(-3.5d-19.86) | | 6/7*2/-5 | | -16.2g-1.58=-18.82-19.9g-9.77 | | 109-3x^2=x^2+4x+29 | | 14-4f=-19-3+2f | | x/5+1/3=6 | | 390=x/3+x*4 | | 2.7b-4.35=-7.79+3.2b+12.79 | | -16+4k=-6k+8k | | 18.11+1.2t+7.31=-4.4t-18.82 | | 55=x*2+x*3 | | 6c-4c^2= | | -20u-14=3-16u-5u | | Y=(2X+1)(X+4)(X+3) | | =6c-4c^2 | | -50-(18)=t | | 9(13x+9)= | | 13n-14=8-18+17n | | 2x-10+9x-3=130 | | 2400/3/5 | | 4k+20+4=-18+k | | Y=8x+1x | | 116-(-29)= | | -13w-18-15=-10w+15 | | 0=1x^4+0x^3-8x^2+0x+0 | | -12z-1+13z=-18+2z | | 3(r-4)=a | | -17+15p=10 | | 400-6x=313 | | 12p+18=10 | | 3m/5-2/5=7/10 | | 45-12=l |

Equations solver categories