-7x=-4x^2+15

Simple and best practice solution for -7x=-4x^2+15 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=-4x^2+15 equation:


Simplifying
-7x = -4x2 + 15

Reorder the terms:
-7x = 15 + -4x2

Solving
-7x = 15 + -4x2

Solving for variable 'x'.

Reorder the terms:
-15 + -7x + 4x2 = 15 + -4x2 + -15 + 4x2

Reorder the terms:
-15 + -7x + 4x2 = 15 + -15 + -4x2 + 4x2

Combine like terms: 15 + -15 = 0
-15 + -7x + 4x2 = 0 + -4x2 + 4x2
-15 + -7x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-15 + -7x + 4x2 = 0

Factor a trinomial.
(-5 + -4x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 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 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25

Subproblem 2

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

Solution

x = {-1.25, 3}

See similar equations:

| 3(2x+1)=5x-3 | | 3w+1=25 | | 5y-3+y+23=7y+20-5y | | 37-14=37-x | | 4x+5(7x+-3)=9(x+-5) | | X^2+22x+57=0 | | X^3-5x^2+9x=0 | | (25x/100)*20= | | (-8)+3x=5x+43 | | 16+2b=b^2-4b | | 3b=5b+24 | | 12-h=3-h | | 37x-14=(34x-4)7 | | 7x-4x+2x+5=2x+14 | | 32-0.35y=0.75y+5 | | 6x+8=9.8 | | (6x+8)+(9x+25)=180 | | -68=4-4n | | 2x^4+x^3-3x+4=0 | | 4x^2-5x+4=0 | | 4x-3-6x-1=-6+4x-2 | | 0.55x+4=0.12x+16 | | 3(y+4)=20y | | z^9+7z^8=0 | | x+x+x+4+x+4=108 | | 4(-4-2n)=4(4-4n) | | 28n=4n | | 9t=4t+420 | | 4x-7y^2-16x^2=0 | | k(k+2)=5k | | 4x-2=2x+40 | | 5+3x+x=3x+9 |

Equations solver categories