(2x^2-3)+(4x-1)=

Simple and best practice solution for (2x^2-3)+(4x-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 (2x^2-3)+(4x-1)= equation:


Simplifying
(2x2 + -3) + (4x + -1) = 0

Reorder the terms:
(-3 + 2x2) + (4x + -1) = 0

Remove parenthesis around (-3 + 2x2)
-3 + 2x2 + (4x + -1) = 0

Reorder the terms:
-3 + 2x2 + (-1 + 4x) = 0

Remove parenthesis around (-1 + 4x)
-3 + 2x2 + -1 + 4x = 0

Reorder the terms:
-3 + -1 + 4x + 2x2 = 0

Combine like terms: -3 + -1 = -4
-4 + 4x + 2x2 = 0

Solving
-4 + 4x + 2x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + 2x + x2)' equal to zero and attempt to solve: Simplifying -2 + 2x + x2 = 0 Solving -2 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '2' to each side of the equation. -2 + 2x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 2x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + x2 = 0 + 2 2x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 2x + x2 = 2 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 2 + 1 Reorder the terms: 1 + 2x + x2 = 2 + 1 Combine like terms: 2 + 1 = 3 1 + 2x + x2 = 3 Factor a perfect square on the left side: (x + 1)(x + 1) = 3 Calculate the square root of the right side: 1.732050808 Break this problem into two subproblems by setting (x + 1) equal to 1.732050808 and -1.732050808.

Subproblem 1

x + 1 = 1.732050808 Simplifying x + 1 = 1.732050808 Reorder the terms: 1 + x = 1.732050808 Solving 1 + x = 1.732050808 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 1.732050808 + -1 Combine like terms: 1 + -1 = 0 0 + x = 1.732050808 + -1 x = 1.732050808 + -1 Combine like terms: 1.732050808 + -1 = 0.732050808 x = 0.732050808 Simplifying x = 0.732050808

Subproblem 2

x + 1 = -1.732050808 Simplifying x + 1 = -1.732050808 Reorder the terms: 1 + x = -1.732050808 Solving 1 + x = -1.732050808 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -1.732050808 + -1 Combine like terms: 1 + -1 = 0 0 + x = -1.732050808 + -1 x = -1.732050808 + -1 Combine like terms: -1.732050808 + -1 = -2.732050808 x = -2.732050808 Simplifying x = -2.732050808

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.732050808, -2.732050808}

Solution

x = {0.732050808, -2.732050808}

See similar equations:

| -13.73+16.3n=-14.5n+18.52+9.3n | | y=4(x^2-4x+3)+9 | | 9e-6=51.6 | | 6x+124=12 | | 20x^4/4x^7 | | a=45x+1427 | | f(x)=4(x^2-4x+3)+9 | | 0=4logex | | 4x^3-10+3=0 | | (4)34x+10y=180 | | (2*x+5)*(18*x-2)=(4*x+1)*(9*x+10) | | 4y=1y-20 | | 5÷33/25 | | -5c+16+25c+18= | | 15+20x=10-10x | | -18.78-16.2c=11.62-14.3c | | 4t^−1/8 | | 3.2timesp=27.2 | | 9(-4y+8z)= | | cos(5x)=sin(7x) | | 1.5-1x=3.5 | | 3(u+7v)= | | 4x^2+40x+55=0 | | 4y-1y=-20 | | 9+5x=3x+4 | | 5(3f+3g)= | | (2x+16)=19 | | -5x-13=4+6(2x+9) | | 2(3x-5)=4 | | 3e-3=3 | | 0=44x^2-48x-9 | | 3(3h-2y)= |

Equations solver categories