(4x+3)(x-4)=0

Simple and best practice solution for (4x+3)(x-4)=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 (4x+3)(x-4)=0 equation:


Simplifying
(4x + 3)(x + -4) = 0

Reorder the terms:
(3 + 4x)(x + -4) = 0

Reorder the terms:
(3 + 4x)(-4 + x) = 0

Multiply (3 + 4x) * (-4 + x)
(3(-4 + x) + 4x * (-4 + x)) = 0
((-4 * 3 + x * 3) + 4x * (-4 + x)) = 0
((-12 + 3x) + 4x * (-4 + x)) = 0
(-12 + 3x + (-4 * 4x + x * 4x)) = 0
(-12 + 3x + (-16x + 4x2)) = 0

Combine like terms: 3x + -16x = -13x
(-12 + -13x + 4x2) = 0

Solving
-12 + -13x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -4x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-0.75, 4}

See similar equations:

| -12-4x=-3(6x+4) | | 4-3(-4x-3)=-33 | | (3d-4)(5d-6)= | | 2x-3(x-1)=1 | | 9(x)+9=12x-3 | | 6sin^2x-7cosx-1=0 | | 12(3y-3)+5(y-1)(3y-3)=-24y+24 | | (2*(-5)*3)= | | f(x)=2e^7 | | (2c+3)(4c-3)= | | 6x+9=-29 | | 31-80= | | 10-(4z-5)=6-5z | | -3/4x-7=11 | | 5x-6=42-11x | | 4(2x+5)=-50+62 | | 4x+20=45 | | 2x+2y=y | | 13(x)-56=7(x)+10 | | 5x-6=-5x+32 | | 2(7+x)-4=28 | | 7/8(1/2) | | 13x^2-71x-42=0 | | -5(x+2)+3x= | | 8k+7=39 | | 2x+2(6x-13)=100 | | x-9+20x^2-9x=0 | | -39+26= | | x^2+3*x-10=0 | | 2e+3=5 | | y+25=5 | | x+15=4(x)-12 |

Equations solver categories