4x^2-36x+49=-7

Simple and best practice solution for 4x^2-36x+49=-7 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^2-36x+49=-7 equation: 


Simplifying
4x2 + -36x + 49 = -7

Reorder the terms:
49 + -36x + 4x2 = -7

Solving
49 + -36x + 4x2 = -7

Solving for variable 'x'.

Reorder the terms:
49 + 7 + -36x + 4x2 = -7 + 7

Combine like terms: 49 + 7 = 56
56 + -36x + 4x2 = -7 + 7

Combine like terms: -7 + 7 = 0
56 + -36x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(14 + -9x + x2) = 0

Factor a trinomial.
4((2 + -1x)(7 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
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
Solution
x = {2, 7}

See similar equations:

| 5(6x-3)+1=20x-3 | | 4b^2-24b-59=5 | | (16x+9)(16x-9)= | | -20t=100 | | 2q+22*3=2134 | | 6-4x=4x+78 | | 3t+35-t=175 | | 81=9d | | 5b+9+4b= | | 3s+35=175 | | 20=m-6 | | 65.7=7.3*n | | 100+x=11x-20 | | -23=a+(-6) | | n*6.4=192 | | 0.1x+4.0=1.7 | | 9q+4=4 | | 3x+14=6x-16 | | 4*n=12.8 | | A+9-6=7 | | y=.05x | | 8n-7n= | | 2x-1.50=12.25 | | 8y+8=2(4y+4) | | -6(x-15)=-96 | | 0=-8+b | | -2+z=5 | | X=8y-8 | | 5x+j= | | -3.6(-60)=0.06 | | -3x^4(x^5-2x)= | | 17x=640 |

Equations solver categories