If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x(2x + 7) = 460 Reorder the terms: x(7 + 2x) = 460 (7 * x + 2x * x) = 460 (7x + 2x2) = 460 Solving 7x + 2x2 = 460 Solving for variable 'x'. Reorder the terms: -460 + 7x + 2x2 = 460 + -460 Combine like terms: 460 + -460 = 0 -460 + 7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -230 + 3.5x + x2 = 0 Move the constant term to the right: Add '230' to each side of the equation. -230 + 3.5x + 230 + x2 = 0 + 230 Reorder the terms: -230 + 230 + 3.5x + x2 = 0 + 230 Combine like terms: -230 + 230 = 0 0 + 3.5x + x2 = 0 + 230 3.5x + x2 = 0 + 230 Combine like terms: 0 + 230 = 230 3.5x + x2 = 230 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = 230 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = 230 + 3.0625 Combine like terms: 230 + 3.0625 = 233.0625 3.0625 + 3.5x + x2 = 233.0625 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = 233.0625 Calculate the square root of the right side: 15.266384641 Break this problem into two subproblems by setting (x + 1.75) equal to 15.266384641 and -15.266384641.Subproblem 1
x + 1.75 = 15.266384641 Simplifying x + 1.75 = 15.266384641 Reorder the terms: 1.75 + x = 15.266384641 Solving 1.75 + x = 15.266384641 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = 15.266384641 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = 15.266384641 + -1.75 x = 15.266384641 + -1.75 Combine like terms: 15.266384641 + -1.75 = 13.516384641 x = 13.516384641 Simplifying x = 13.516384641Subproblem 2
x + 1.75 = -15.266384641 Simplifying x + 1.75 = -15.266384641 Reorder the terms: 1.75 + x = -15.266384641 Solving 1.75 + x = -15.266384641 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75' to each side of the equation. 1.75 + -1.75 + x = -15.266384641 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + x = -15.266384641 + -1.75 x = -15.266384641 + -1.75 Combine like terms: -15.266384641 + -1.75 = -17.016384641 x = -17.016384641 Simplifying x = -17.016384641Solution
The solution to the problem is based on the solutions from the subproblems. x = {13.516384641, -17.016384641}
| 1/3*2.25 | | (3z-5)(3z+15)=0 | | W=(.0026*65*1000*^(3)/1.5 | | 4x+-4=-4x+6 | | 3m+9=4(2m+6) | | -10v=6 | | 22.1+.21x=24.94+.16x | | 12y+9x=294 | | -(x-1)(x-5)(x-10)=0 | | 6sinx+5cosx=2 | | 0.8d+3.74=d+1.5 | | 6+5(-6x+3)=-4 | | 4/n=11 | | -16-10x=-7x+38 | | 90=3.5x | | H/8=3 | | 100=10Q(x)+5Q(Y) | | -5n-24+n^2=0 | | 20/3=m30 | | 2x+18=55 | | -2x^3+7x^2+3x-18=0 | | (6x)^2/3=36 | | 12=-3n+5n | | 4b-4(-6b-8)=172 | | 11v-26+v^2=0 | | .0059=x^3 | | -6(7x-4)-4(2x+6)=x-x | | .75(4y+8)=5+3y | | 3x-7x=3(1-7x)+4(3x+8) | | 16(13x)=572 | | X-1.8=56 | | (X-3)x+5= |