If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 13x + -36 = 90 Reorder the terms: -36 + 13x + x2 = 90 Solving -36 + 13x + x2 = 90 Solving for variable 'x'. Reorder the terms: -36 + -90 + 13x + x2 = 90 + -90 Combine like terms: -36 + -90 = -126 -126 + 13x + x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -126 + 13x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '126' to each side of the equation. -126 + 13x + 126 + x2 = 0 + 126 Reorder the terms: -126 + 126 + 13x + x2 = 0 + 126 Combine like terms: -126 + 126 = 0 0 + 13x + x2 = 0 + 126 13x + x2 = 0 + 126 Combine like terms: 0 + 126 = 126 13x + x2 = 126 The x term is 13x. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13x + 42.25 + x2 = 126 + 42.25 Reorder the terms: 42.25 + 13x + x2 = 126 + 42.25 Combine like terms: 126 + 42.25 = 168.25 42.25 + 13x + x2 = 168.25 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = 168.25 Calculate the square root of the right side: 12.971121771 Break this problem into two subproblems by setting (x + 6.5) equal to 12.971121771 and -12.971121771.Subproblem 1
x + 6.5 = 12.971121771 Simplifying x + 6.5 = 12.971121771 Reorder the terms: 6.5 + x = 12.971121771 Solving 6.5 + x = 12.971121771 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + x = 12.971121771 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = 12.971121771 + -6.5 x = 12.971121771 + -6.5 Combine like terms: 12.971121771 + -6.5 = 6.471121771 x = 6.471121771 Simplifying x = 6.471121771Subproblem 2
x + 6.5 = -12.971121771 Simplifying x + 6.5 = -12.971121771 Reorder the terms: 6.5 + x = -12.971121771 Solving 6.5 + x = -12.971121771 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + x = -12.971121771 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = -12.971121771 + -6.5 x = -12.971121771 + -6.5 Combine like terms: -12.971121771 + -6.5 = -19.471121771 x = -19.471121771 Simplifying x = -19.471121771Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.471121771, -19.471121771}
| 4v+16-16v=40-4v | | -12=144 | | p+0.04p=124.8 | | -5.2c=-38.48 | | 27.50x=23.35x+17 | | 12b-3b=96+3b | | -16t^2+6000=0 | | -8x+10=-30 | | Z-13=24 | | 2+16(4+y)=5(8-2y) | | 7x-16=x-20 | | -8x+10=30 | | y=lx+5l | | 3x+9xz=q | | x+15+x+15+2x-1=180 | | 10-9x=-35 | | d+2=2d+1 | | -4x=3-(-1) | | 1/8w+6=-12 | | 5y+2+8y-1+5x+5y+2=180 | | 10-9x=35 | | 48+2x=42+3x | | 50+25+65=180 | | 18-c=-6 | | -fg+fh+4f+7=g+6 | | -4x-8x=-5(1-5x)+5(-8x-2) | | -7.5+1.5=.75(7.5-.5) | | 1+8n-6n=13 | | 4x-3+2x+7+5x-1+58=180 | | 24=5r-11 | | 3x+2+55=90 | | 3xy-9xz-7x-10=-6y+1 |