(5x^2+4x-3)=(9-7x)

Simple and best practice solution for (5x^2+4x-3)=(9-7x) 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^2+4x-3)=(9-7x) equation: 


Simplifying
(5x2 + 4x + -3) = (9 + -7x)

Reorder the terms:
(-3 + 4x + 5x2) = (9 + -7x)

Remove parenthesis around (-3 + 4x + 5x2)
-3 + 4x + 5x2 = (9 + -7x)

Remove parenthesis around (9 + -7x)
-3 + 4x + 5x2 = 9 + -7x

Solving
-3 + 4x + 5x2 = 9 + -7x

Solving for variable 'x'.

Reorder the terms:
-3 + -9 + 4x + 7x + 5x2 = 9 + -7x + -9 + 7x

Combine like terms: -3 + -9 = -12
-12 + 4x + 7x + 5x2 = 9 + -7x + -9 + 7x

Combine like terms: 4x + 7x = 11x
-12 + 11x + 5x2 = 9 + -7x + -9 + 7x

Reorder the terms:
-12 + 11x + 5x2 = 9 + -9 + -7x + 7x

Combine like terms: 9 + -9 = 0
-12 + 11x + 5x2 = 0 + -7x + 7x
-12 + 11x + 5x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-12 + 11x + 5x2 = 0

Factor a trinomial.
(-3 + -1x)(4 + -5x) = 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 '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-3, 0.8}

See similar equations:

| (5x^2+4x-3)=(-7x) | | 6x-17=47+10x | | 98b^2=50 | | 64p^2=9 | | 12y=18y^2 | | 9-3m+n=0 | | 103-3x=15x+17 | | 3t-5=46 | | 3z(4z+2)=88 | | F=1.8(k-273.15)+32 | | -3x-3y=54 | | 100x+-89=121 | | 60x-180+96x-48=540+1260 | | 3x-(2x+5)=-1 | | (6y+3)(10y+12)= | | 5(5n-1)=3(n+2) | | 133-6x=2x+13 | | 8p-13=5p+8 | | 6-3n+5=20 | | 6-3n+5=20 | | 1n-5=4n+4 | | 20x-5-14x+3=22x-9-16x+14 | | (x-2)(x+4)=7 | | 40x+25=5(3x-30) | | 8x-18=2x | | 12-33=7x+2 | | 6(y-3)=5(y+4) | | -13(x+20)=-11(x+38) | | -3x^2-4x-7=-6 | | y=(3x)-(51) | | 3x+3=15-3 | | y=3x-(51) |

Equations solver categories