(7a+8)(11a+14)=0

Simple and best practice solution for (7a+8)(11a+14)=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 (7a+8)(11a+14)=0 equation:


Simplifying
(7a + 8)(11a + 14) = 0

Reorder the terms:
(8 + 7a)(11a + 14) = 0

Reorder the terms:
(8 + 7a)(14 + 11a) = 0

Multiply (8 + 7a) * (14 + 11a)
(8(14 + 11a) + 7a * (14 + 11a)) = 0
((14 * 8 + 11a * 8) + 7a * (14 + 11a)) = 0
((112 + 88a) + 7a * (14 + 11a)) = 0
(112 + 88a + (14 * 7a + 11a * 7a)) = 0
(112 + 88a + (98a + 77a2)) = 0

Combine like terms: 88a + 98a = 186a
(112 + 186a + 77a2) = 0

Solving
112 + 186a + 77a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(14 + 11a)(8 + 7a) = 0

Subproblem 1

Set the factor '(14 + 11a)' equal to zero and attempt to solve: Simplifying 14 + 11a = 0 Solving 14 + 11a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 11a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 11a = 0 + -14 11a = 0 + -14 Combine like terms: 0 + -14 = -14 11a = -14 Divide each side by '11'. a = -1.272727273 Simplifying a = -1.272727273

Subproblem 2

Set the factor '(8 + 7a)' equal to zero and attempt to solve: Simplifying 8 + 7a = 0 Solving 8 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7a = 0 + -8 7a = 0 + -8 Combine like terms: 0 + -8 = -8 7a = -8 Divide each side by '7'. a = -1.142857143 Simplifying a = -1.142857143

Solution

a = {-1.272727273, -1.142857143}

See similar equations:

| (5y+10)(7y+4)-(13y+3)(5y+10)=0 | | x^7=46 | | 5x-3=5(x+9) | | -2(x-4)+3=11 | | -36=-6/5x | | X-3/5=-1/4 | | (6x+15)(3x+14)+(9x+13)(6x+15)=0 | | 4(2x+6)=-23+15 | | (x-4)(x+8)+20=0 | | 6(c+7)=7+5c | | 8x-2y(-4)=-16 | | 7x+y=21solvingy | | 3/4+5/8= | | y/2=7 | | 90/10=x | | 2y-31=6y+17 | | a/8=4 | | 11/ln(x) | | 135/b=9 | | 44/11=b | | -2y+12=-2(3y+2) | | -5-5x=20 | | 25(3-x)=-2 | | -x-7-3(x-5)=7x-44 | | 6-(3x-6)=7-4x | | 12z+7=0 | | 6(7+c)=5(1+c) | | 2x^3-9x^2-38x+21=0 | | 4(x^3-25x^2+15x-250)=0 | | 6(c+7)=5+5c | | (-12)(5x)(1/4) | | x+(-24)=8x |

Equations solver categories