4x^2+16x-13=295

Simple and best practice solution for 4x^2+16x-13=295 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+16x-13=295 equation:


Simplifying
4x2 + 16x + -13 = 295

Reorder the terms:
-13 + 16x + 4x2 = 295

Solving
-13 + 16x + 4x2 = 295

Solving for variable 'x'.

Reorder the terms:
-13 + -295 + 16x + 4x2 = 295 + -295

Combine like terms: -13 + -295 = -308
-308 + 16x + 4x2 = 295 + -295

Combine like terms: 295 + -295 = 0
-308 + 16x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-77 + 4x + x2) = 0

Factor a trinomial.
4((-11 + -1x)(7 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

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 = {-11, 7}

See similar equations:

| 4x+2=3y-1 | | 7=5(x-2)-(x-5) | | 7x-(4x-39)=30 | | 3(x-6)-6(x-3)=x+2-(x-4) | | 2x^2+2x=5-4x | | 3(x-5)+19=2(x+4) | | 5u-10=u+45 | | 10y-4=12y+6 | | 4x+4=6x | | 8x-2=5+7x | | 9x-8=x+7 | | 13x-(4x-9)=90 | | 4y+1=32 | | 4y+1=32 | | 5x^2-2x+5=15 | | 17=13+3x | | 5x^2-2x+5=12 | | x^2-3x=8 | | R=2t+84 | | -2(5+6m)+16=90 | | x^2-bx+8=0 | | x^2-x-b=0 | | x^2+bx+8=0 | | 3x(x-3)=3x | | 4x+21=2x+77 | | 3y-2x=11 | | 5x^2+6x=8 | | 183-6x=30x+15 | | 0.1986x^2=15 | | 0.2x+158=380 | | 3-8(X-5)=4X+7 | | a^2-6a+9=0 |

Equations solver categories