(4x^2+5x-3)=0

Simple and best practice solution for (4x^2+5x-3)=0 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+5x-3)=0 equation:


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

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

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

Solving
-3 + 5x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
-0.75 + 1.25x + x2 = 0

Move the constant term to the right:

Add '0.75' to each side of the equation.
-0.75 + 1.25x + 0.75 + x2 = 0 + 0.75

Reorder the terms:
-0.75 + 0.75 + 1.25x + x2 = 0 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 1.25x + x2 = 0 + 0.75
1.25x + x2 = 0 + 0.75

Combine like terms: 0 + 0.75 = 0.75
1.25x + x2 = 0.75

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = 0.75 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = 0.75 + 0.390625

Combine like terms: 0.75 + 0.390625 = 1.140625
0.390625 + 1.25x + x2 = 1.140625

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = 1.140625

Calculate the square root of the right side: 1.068000468

Break this problem into two subproblems by setting 
(x + 0.625) equal to 1.068000468 and -1.068000468.

Subproblem 1

x + 0.625 = 1.068000468 Simplifying x + 0.625 = 1.068000468 Reorder the terms: 0.625 + x = 1.068000468 Solving 0.625 + x = 1.068000468 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + x = 1.068000468 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + x = 1.068000468 + -0.625 x = 1.068000468 + -0.625 Combine like terms: 1.068000468 + -0.625 = 0.443000468 x = 0.443000468 Simplifying x = 0.443000468

Subproblem 2

x + 0.625 = -1.068000468 Simplifying x + 0.625 = -1.068000468 Reorder the terms: 0.625 + x = -1.068000468 Solving 0.625 + x = -1.068000468 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + x = -1.068000468 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + x = -1.068000468 + -0.625 x = -1.068000468 + -0.625 Combine like terms: -1.068000468 + -0.625 = -1.693000468 x = -1.693000468 Simplifying x = -1.693000468

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.443000468, -1.693000468}

See similar equations:

| 5c+1=16 | | 5[3(7-t)-4(8+2t)]=6[2(6+3t)-4] | | (6x^2-x+7)=0 | | 10x^2+39x+14=0 | | 650t=250(t+10) | | (3a-3b+2)-(4a+5b)= | | 5(x+5)=-9+3x | | 35(18+x)=2170 | | 1=0.3x-0.5x-1 | | ln(x-2)+ln*3=ln*x | | 8c+10=26 | | 9y-17y=-42-54 | | 3x+18=4x-12 | | 4(c+24)=24(5) | | -5(5.3)= | | 5m-17-18=4m | | N=11+12 | | 7c+3=10 | | -3n+14=-2n-4 | | 2x-10=7x+3 | | 7x-17=3x+117 | | 6xy+14x-15y-35= | | (4c-2)(c+2)= | | -4(2t+1)=-44 | | 4x+3=12x5y=25 | | (-7)-3x+2=(-8x)-8 | | 7x-150-2x+22=32 | | y+12=12x | | 4x^2-19x+10=-8x+4 | | -11+19=-2(x+2) | | (3b-2)(b-4)= | | x-46=4(2x+3)-9 |

Equations solver categories