x(4x-3)=45

Simple and best practice solution for x(4x-3)=45 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 x(4x-3)=45 equation:


Simplifying
x(4x + -3) = 45

Reorder the terms:
x(-3 + 4x) = 45
(-3 * x + 4x * x) = 45
(-3x + 4x2) = 45

Solving
-3x + 4x2 = 45

Solving for variable 'x'.

Reorder the terms:
-45 + -3x + 4x2 = 45 + -45

Combine like terms: 45 + -45 = 0
-45 + -3x + 4x2 = 0

Factor a trinomial.
(-3 + -1x)(15 + -4x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(15 + -4x)' equal to zero and attempt to solve: Simplifying 15 + -4x = 0 Solving 15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 0 + -15 -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75

Solution

x = {-3, 3.75}

See similar equations:

| 9g+17=80 | | 2(h-1)-h=h-16 | | 4f+5=25 | | 43-2x=7x+20 | | 3p-5+8-5=1 | | 13-9x=46-16x | | 40=c+2c-101 | | 6x+7=-71-7x | | 118-3x=5x+22 | | -44-2x=6-7x | | 74-5x=9x+18 | | 2x+13=53-3x | | x+(x-5)=63 | | 4-(5z-2)=z | | 3x-4=13x-84 | | 3x-4=13x-24 | | (x-2)(x+4)=4x | | X+(x-3)=63 | | x+2=2x-1 | | 12x-11=9x+1 | | 12x+5=6x+29 | | 12x-13=131 | | 137=71-3x-6 | | 4x+7=-89-8x | | 24=6a+24b | | -2(-9)= | | -8x+190+3x=80 | | -12+8= | | 6x+12=89-5x | | Y-9=11 | | 14.9=8.6+0.9 | | 8+-9+-2+4= |

Equations solver categories