7x^2+84x+245=0

Simple and best practice solution for 7x^2+84x+245=0 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+84x+245=0 equation:


Simplifying
7x2 + 84x + 245 = 0

Reorder the terms:
245 + 84x + 7x2 = 0

Solving
245 + 84x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(35 + 12x + x2) = 0

Factor a trinomial.
7((7 + x)(5 + x)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {-7, -5}

See similar equations:

| 7x+3+5x+9=90 | | 3x(9-2)= | | m(x+3)= | | 3y-4+y+38=7y+40-5y | | 8(3p-2q)= | | 14x^2=3x+5 | | 18w-126w-126=126w+108 | | 4s(4-8t)= | | x^5-64=0 | | 3x^2+2x^2=35 | | x^1/2-8x1/4+15=0 | | 14(a+b)= | | 31+7(y+6)= | | k(10-7r)= | | 8(1+2d)= | | 2(6-5a)= | | -4(y-9)+3(2y-1)= | | 4x+72=9x+102 | | 7m+2n+8m= | | 2(y+5)=-1 | | (X+1)(x+1)+4=14 | | (5p-8)/12=1/2 | | 7(1+t)= | | (5p-8)12=1/2 | | 4(c+2)= | | 4x+72=180 | | 9(r-4)= | | 3(x+9)=6(x+1) | | 3a+7a+2b+a-b= | | 56x^2+160x-16=4 | | 8x-3+6x+7=180 | | 8/5+3/5x=53/20+7/4x+3/4 |

Equations solver categories