(8a-3)(a+7)=0

Simple and best practice solution for (8a-3)(a+7)=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 (8a-3)(a+7)=0 equation:


Simplifying
(8a + -3)(a + 7) = 0

Reorder the terms:
(-3 + 8a)(a + 7) = 0

Reorder the terms:
(-3 + 8a)(7 + a) = 0

Multiply (-3 + 8a) * (7 + a)
(-3(7 + a) + 8a * (7 + a)) = 0
((7 * -3 + a * -3) + 8a * (7 + a)) = 0
((-21 + -3a) + 8a * (7 + a)) = 0
(-21 + -3a + (7 * 8a + a * 8a)) = 0
(-21 + -3a + (56a + 8a2)) = 0

Combine like terms: -3a + 56a = 53a
(-21 + 53a + 8a2) = 0

Solving
-21 + 53a + 8a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7 + -1a)(3 + -8a) = 0

Subproblem 1

Set the factor '(-7 + -1a)' equal to zero and attempt to solve: Simplifying -7 + -1a = 0 Solving -7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7

Subproblem 2

Set the factor '(3 + -8a)' equal to zero and attempt to solve: Simplifying 3 + -8a = 0 Solving 3 + -8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8a = 0 + -3 -8a = 0 + -3 Combine like terms: 0 + -3 = -3 -8a = -3 Divide each side by '-8'. a = 0.375 Simplifying a = 0.375

Solution

a = {-7, 0.375}

See similar equations:

| X+(x+8)+4x=180 | | 2x^2-14x=36 | | 8=8(x-3)-5x | | n^2-6=30 | | 16x-16=x*x | | 3+2x(3x-4)=4x(2x+5)-2x(x-1) | | 2x^2-18=20 | | 6.4=1.2 | | 36=(1.49+0.59+0.49)12+x | | 13x^2-2x^3=36 | | 7x-26=x+10 | | 10x+8y=115 | | 9/10x≥12 | | 5x^2-2xy+5y^2-12=0 | | 29x+33+19x=-115 | | -2(x+3)=-2(2+2x) | | x^2-14x+13=30y | | 19/6 | | -7(-6-6/7x)=12(x-7/3) | | 30y=x^2-14x+13 | | 2x^3-6.4x^2+256.32x-674.272=0 | | 9(y-4)=-10(y+7/3) | | 2x^3-6.4x^2=0 | | 14x+6y=46 | | 0.4p-0.03+0.2p=0.15 | | 3m-n=6 | | -12x^2-6x+7=-155 | | 2x+3Y=112 | | -12x^2-6x+7=155 | | 3r-8s=7 | | 10y+5-3y=19 | | -12x^2+-6+7x+9=155 |

Equations solver categories