4x^2+12x-7=2x-1

Simple and best practice solution for 4x^2+12x-7=2x-1 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^2+12x-7=2x-1 equation: 


Simplifying
4x2 + 12x + -7 = 2x + -1

Reorder the terms:
-7 + 12x + 4x2 = 2x + -1

Reorder the terms:
-7 + 12x + 4x2 = -1 + 2x

Solving
-7 + 12x + 4x2 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
-7 + 1 + 12x + -2x + 4x2 = -1 + 2x + 1 + -2x

Combine like terms: -7 + 1 = -6
-6 + 12x + -2x + 4x2 = -1 + 2x + 1 + -2x

Combine like terms: 12x + -2x = 10x
-6 + 10x + 4x2 = -1 + 2x + 1 + -2x

Reorder the terms:
-6 + 10x + 4x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
-6 + 10x + 4x2 = 0 + 2x + -2x
-6 + 10x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 10x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 5x + 2x2) = 0

Factor a trinomial.
2((-3 + -1x)(1 + -2x)) = 0

Ignore the factor 2.

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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-3, 0.5}

See similar equations:

| (4-x)-(3x+2)=7+4(x-7) | | 0.5(3x)=17 | | x+(x+1)+(x+2)=5004 | | 3a^2-4a-7= | | 3/4*2 | | x+(x+1)+(x+2)=5002 | | x+(x+1)+(x+2)=500 | | 10y-5x=-35 | | 5t+7=3(4-t) | | x+(x+1)+(x+2)=162 | | x+(x+1)+(x+2)=169 | | 3x^2+8xy-3y^2=1 | | 11x-20=6x+6 | | z^2-(5+i)*z+8+i=0 | | x+(x+1)+(x+2)=666 | | 3x^2-8xy-3y^2=1 | | 53-2x=6x+58 | | 2/7x-8/5=5x+3/2 | | (3)(1)(2)(2)= | | 2y-3=6+y | | (-2y^4)(7y^3)= | | 1x=1+6985+2x | | 3x+65=2x+15 | | 2(x+2)/4=5x-2 | | (18)(2)(3)= | | 8+x=50 | | (13)(3)= | | (-6)(5)(-7)= | | -(2x+7y)-4x+(3x-4y)= | | 3x-4.7=2.8 | | 3(y-6)/5=-3y | | (x+2)(x+3)=2x-10 |

Equations solver categories