-4x^2+9x+7=

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


Simplifying
-4x2 + 9x + 7 = 0

Reorder the terms:
7 + 9x + -4x2 = 0

Solving
7 + 9x + -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'.
-1.75 + -2.25x + x2 = 0

Move the constant term to the right:

Add '1.75' to each side of the equation.
-1.75 + -2.25x + 1.75 + x2 = 0 + 1.75

Reorder the terms:
-1.75 + 1.75 + -2.25x + x2 = 0 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + -2.25x + x2 = 0 + 1.75
-2.25x + x2 = 0 + 1.75

Combine like terms: 0 + 1.75 = 1.75
-2.25x + x2 = 1.75

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = 1.75 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = 1.75 + 1.265625

Combine like terms: 1.75 + 1.265625 = 3.015625
1.265625 + -2.25x + x2 = 3.015625

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = 3.015625

Calculate the square root of the right side: 1.736555499

Break this problem into two subproblems by setting 
(x + -1.125) equal to 1.736555499 and -1.736555499.

Subproblem 1

x + -1.125 = 1.736555499 Simplifying x + -1.125 = 1.736555499 Reorder the terms: -1.125 + x = 1.736555499 Solving -1.125 + x = 1.736555499 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.125' to each side of the equation. -1.125 + 1.125 + x = 1.736555499 + 1.125 Combine like terms: -1.125 + 1.125 = 0.000 0.000 + x = 1.736555499 + 1.125 x = 1.736555499 + 1.125 Combine like terms: 1.736555499 + 1.125 = 2.861555499 x = 2.861555499 Simplifying x = 2.861555499

Subproblem 2

x + -1.125 = -1.736555499 Simplifying x + -1.125 = -1.736555499 Reorder the terms: -1.125 + x = -1.736555499 Solving -1.125 + x = -1.736555499 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.125' to each side of the equation. -1.125 + 1.125 + x = -1.736555499 + 1.125 Combine like terms: -1.125 + 1.125 = 0.000 0.000 + x = -1.736555499 + 1.125 x = -1.736555499 + 1.125 Combine like terms: -1.736555499 + 1.125 = -0.611555499 x = -0.611555499 Simplifying x = -0.611555499

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.861555499, -0.611555499}

See similar equations:

| (2x+11)/3=15 | | 6x-1=-2x+31 | | m/292=7/25 | | 1000(8x-10)=50(589+100x) | | 1-3/4=n | | 2x-xb+ab=0 | | m-4n=8form | | 3c/7=-2/3 | | 9a^12= | | 20k+90=10k+100 | | 9/36=x/480 | | 1/3x-2/7=4 | | 6x=3x-2(x-5) | | 5x-2(x-5)=10 | | 5(-1/25)-3x=4(-1/25)+6x-1 | | 1/5n+1/6n=1/22 | | 9y+(4y+3)= | | -9-x=7x+87 | | 5x-19=46 | | 13/5=72/z | | 3/1.5 | | x^2-7xy+6y^2=x | | 48=12x+8-2x | | -3x-6=3x-24 | | 5(3n+4)=9(6n+1)+4 | | 10(222)=-4.625+6.5x^2 | | SA=2lw+2hw+2hl | | 3(x+7)+6=7x-4(x-4) | | 8X/6(3-5)=9X+3 | | 6=7m-3m-6 | | .15x-3=.4(-5) | | 1+r=-4(-6r-4)+8 |

Equations solver categories