If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 180x = x2 + 90 Reorder the terms: 180x = 90 + x2 Solving 180x = 90 + x2 Solving for variable 'x'. Reorder the terms: -90 + 180x + -1x2 = 90 + x2 + -90 + -1x2 Reorder the terms: -90 + 180x + -1x2 = 90 + -90 + x2 + -1x2 Combine like terms: 90 + -90 = 0 -90 + 180x + -1x2 = 0 + x2 + -1x2 -90 + 180x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -90 + 180x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 90 + -180x + x2 = 0 Move the constant term to the right: Add '-90' to each side of the equation. 90 + -180x + -90 + x2 = 0 + -90 Reorder the terms: 90 + -90 + -180x + x2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -180x + x2 = 0 + -90 -180x + x2 = 0 + -90 Combine like terms: 0 + -90 = -90 -180x + x2 = -90 The x term is -180x. Take half its coefficient (-90). Square it (8100) and add it to both sides. Add '8100' to each side of the equation. -180x + 8100 + x2 = -90 + 8100 Reorder the terms: 8100 + -180x + x2 = -90 + 8100 Combine like terms: -90 + 8100 = 8010 8100 + -180x + x2 = 8010 Factor a perfect square on the left side: (x + -90)(x + -90) = 8010 Calculate the square root of the right side: 89.498603341 Break this problem into two subproblems by setting (x + -90) equal to 89.498603341 and -89.498603341.Subproblem 1
x + -90 = 89.498603341 Simplifying x + -90 = 89.498603341 Reorder the terms: -90 + x = 89.498603341 Solving -90 + x = 89.498603341 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + x = 89.498603341 + 90 Combine like terms: -90 + 90 = 0 0 + x = 89.498603341 + 90 x = 89.498603341 + 90 Combine like terms: 89.498603341 + 90 = 179.498603341 x = 179.498603341 Simplifying x = 179.498603341Subproblem 2
x + -90 = -89.498603341 Simplifying x + -90 = -89.498603341 Reorder the terms: -90 + x = -89.498603341 Solving -90 + x = -89.498603341 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + x = -89.498603341 + 90 Combine like terms: -90 + 90 = 0 0 + x = -89.498603341 + 90 x = -89.498603341 + 90 Combine like terms: -89.498603341 + 90 = 0.501396659 x = 0.501396659 Simplifying x = 0.501396659Solution
The solution to the problem is based on the solutions from the subproblems. x = {179.498603341, 0.501396659}
| x(x)-2x-24=0 | | 9y+3=2(3y+6) | | r+3=2(5r-3) | | 2h^2=-8 | | 2(w+4)+2(w)=16 | | 1.5(8x+4)=4x+5 | | m/6-11=10 | | -0.4z=-16 | | 4(0.6m+2.5)=2(2.5m+3.05) | | 8y-3=1.5(4y+9) | | x-3x+2/2x-6 | | x+2x+x-5=23 | | 7(2n+3)=14n+21 | | 4y*2=100 | | X+47=-27 | | 1736=x*2800 | | -8-(-c)=10 | | 1495=x*2300 | | 8(-6a-7)=280 | | ((x-4)/2)=((2x-5)/3) | | 7(1-6x)=133 | | 9x^2-4x-13=0 | | x*1000=5 | | x/2-5=39 | | 1.5x-2.1(2x+3)=4.2x+0.3(x+9) | | -3y+7y=4y | | 5r=r+24 | | -2-6n+4=8 | | x*1125=9 | | 120x=x^2-60x+90 | | -1=0.25x+3 | | 4x^2+44x+96=0 |