5x(x-3)+4(x+4)=31-7x^2

Simple and best practice solution for 5x(x-3)+4(x+4)=31-7x^2 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 5x(x-3)+4(x+4)=31-7x^2 equation: 


Simplifying
5x(x + -3) + 4(x + 4) = 31 + -7x2

Reorder the terms:
5x(-3 + x) + 4(x + 4) = 31 + -7x2
(-3 * 5x + x * 5x) + 4(x + 4) = 31 + -7x2
(-15x + 5x2) + 4(x + 4) = 31 + -7x2

Reorder the terms:
-15x + 5x2 + 4(4 + x) = 31 + -7x2
-15x + 5x2 + (4 * 4 + x * 4) = 31 + -7x2
-15x + 5x2 + (16 + 4x) = 31 + -7x2

Reorder the terms:
16 + -15x + 4x + 5x2 = 31 + -7x2

Combine like terms: -15x + 4x = -11x
16 + -11x + 5x2 = 31 + -7x2

Solving
16 + -11x + 5x2 = 31 + -7x2

Solving for variable 'x'.

Reorder the terms:
16 + -31 + -11x + 5x2 + 7x2 = 31 + -7x2 + -31 + 7x2

Combine like terms: 16 + -31 = -15
-15 + -11x + 5x2 + 7x2 = 31 + -7x2 + -31 + 7x2

Combine like terms: 5x2 + 7x2 = 12x2
-15 + -11x + 12x2 = 31 + -7x2 + -31 + 7x2

Reorder the terms:
-15 + -11x + 12x2 = 31 + -31 + -7x2 + 7x2

Combine like terms: 31 + -31 = 0
-15 + -11x + 12x2 = 0 + -7x2 + 7x2
-15 + -11x + 12x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
-15 + -11x + 12x2 = 0

Factor a trinomial.
(-3 + -4x)(5 + -3x) = 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 '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-0.75, 1.666666667}

See similar equations:

| 2m+4.6=5.2 | | 14x+12x-3=8x+15 | | (4x^2+14x+11)/(x+2) | | z+29=22 | | 4x/3+1/6(x+1)=3 | | 2/3x+12=6 | | -4(2x-16)=-4(x+13)-12 | | -9(5)+y=3 | | d/7=12+d | | x^2-14x-40=0 | | 4-(7-6x)=2x-2 | | 0.93=0.15+0.3 | | -9(4)+y=3 | | 9-2x=15+4x | | -7x+8x-16=10 | | 1/3c=3c-9 | | 2x+4=2(3x) | | 8-5k=37 | | n^2-6n+27=0 | | 15-z/3=21 | | 7p+3p-p=108 | | 2x^2-9x+150=0 | | 44x^2=144 | | 1p+7p+8=90+14 | | 1/3(10x-9)=4 | | -5(x-2(2x-3))+1=2x-3 | | 5k+4=2k+28 | | 25+k/3=36 | | 7-k/8=4 | | 5q+4=24 | | 5x-4=7x-2k | | 21y-27=-7x+4 |

Equations solver categories