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

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


Simplifying
(-3x2 + -4x + 7) + -1(5x + 4x2 + 4) = 0

Reorder the terms:
(7 + -4x + -3x2) + -1(5x + 4x2 + 4) = 0

Remove parenthesis around (7 + -4x + -3x2)
7 + -4x + -3x2 + -1(5x + 4x2 + 4) = 0

Reorder the terms:
7 + -4x + -3x2 + -1(4 + 5x + 4x2) = 0
7 + -4x + -3x2 + (4 * -1 + 5x * -1 + 4x2 * -1) = 0
7 + -4x + -3x2 + (-4 + -5x + -4x2) = 0

Reorder the terms:
7 + -4 + -4x + -5x + -3x2 + -4x2 = 0

Combine like terms: 7 + -4 = 3
3 + -4x + -5x + -3x2 + -4x2 = 0

Combine like terms: -4x + -5x = -9x
3 + -9x + -3x2 + -4x2 = 0

Combine like terms: -3x2 + -4x2 = -7x2
3 + -9x + -7x2 = 0

Solving
3 + -9x + -7x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
-0.4285714286 + 1.285714286x + x2 = 0

Move the constant term to the right:

Add '0.4285714286' to each side of the equation.
-0.4285714286 + 1.285714286x + 0.4285714286 + x2 = 0 + 0.4285714286

Reorder the terms:
-0.4285714286 + 0.4285714286 + 1.285714286x + x2 = 0 + 0.4285714286

Combine like terms: -0.4285714286 + 0.4285714286 = 0.0000000000
0.0000000000 + 1.285714286x + x2 = 0 + 0.4285714286
1.285714286x + x2 = 0 + 0.4285714286

Combine like terms: 0 + 0.4285714286 = 0.4285714286
1.285714286x + x2 = 0.4285714286

The x term is 1.285714286x.  Take half its coefficient (0.642857143).
Square it (0.4132653063) and add it to both sides.

Add '0.4132653063' to each side of the equation.
1.285714286x + 0.4132653063 + x2 = 0.4285714286 + 0.4132653063

Reorder the terms:
0.4132653063 + 1.285714286x + x2 = 0.4285714286 + 0.4132653063

Combine like terms: 0.4285714286 + 0.4132653063 = 0.8418367349
0.4132653063 + 1.285714286x + x2 = 0.8418367349

Factor a perfect square on the left side:
(x + 0.642857143)(x + 0.642857143) = 0.8418367349

Calculate the square root of the right side: 0.917516613

Break this problem into two subproblems by setting 
(x + 0.642857143) equal to 0.917516613 and -0.917516613.

Subproblem 1

x + 0.642857143 = 0.917516613 Simplifying x + 0.642857143 = 0.917516613 Reorder the terms: 0.642857143 + x = 0.917516613 Solving 0.642857143 + x = 0.917516613 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.642857143' to each side of the equation. 0.642857143 + -0.642857143 + x = 0.917516613 + -0.642857143 Combine like terms: 0.642857143 + -0.642857143 = 0.000000000 0.000000000 + x = 0.917516613 + -0.642857143 x = 0.917516613 + -0.642857143 Combine like terms: 0.917516613 + -0.642857143 = 0.27465947 x = 0.27465947 Simplifying x = 0.27465947

Subproblem 2

x + 0.642857143 = -0.917516613 Simplifying x + 0.642857143 = -0.917516613 Reorder the terms: 0.642857143 + x = -0.917516613 Solving 0.642857143 + x = -0.917516613 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.642857143' to each side of the equation. 0.642857143 + -0.642857143 + x = -0.917516613 + -0.642857143 Combine like terms: 0.642857143 + -0.642857143 = 0.000000000 0.000000000 + x = -0.917516613 + -0.642857143 x = -0.917516613 + -0.642857143 Combine like terms: -0.917516613 + -0.642857143 = -1.560373756 x = -1.560373756 Simplifying x = -1.560373756

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.27465947, -1.560373756}

See similar equations:

| 2x^6=32x^4 | | x^2-x+72=0 | | 2+9X=5X^2 | | 9(r+7)= | | b^2+14=0 | | 2X^2+8+6=0 | | 2x-34+x+(x+29)=659 | | 3(x-6)+8=5(x+2)-2 | | -42=-7x | | 6x-4x+x-5+2x= | | 4+b-4=8 | | 2+a=1-4 | | -0.02(50)+0.5=0.3(50+x) | | -(8y+5)-(-7y-6)=-3 | | -45+7= | | 10w-5=45 | | 9m-12=7m | | 19v-10v-6v+2=8 | | 81x^2-18=7 | | -7x-4=-53 | | 55y=35y | | 17a+3a+a+3a-19a=5 | | 8x+18=4x+57 | | 4x^2+16y^2+32x+63=0 | | 8x-(5x+8)=10 | | 8(3x-2)=4(6x+3) | | 2t+48=7t-21.4 | | 19h-17h-2h+h+4h=15 | | 2(x+14)+2w=96 | | 3(q+2)=2(3-q) | | 5+2z-3=8z+11-5z | | 9a^3+9a^2+2a= |

Equations solver categories