If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x + (5 + x)(2x + 10) = 180 Reorder the terms: x + (5 + x)(10 + 2x) = 180 Multiply (5 + x) * (10 + 2x) x + (5(10 + 2x) + x(10 + 2x)) = 180 x + ((10 * 5 + 2x * 5) + x(10 + 2x)) = 180 x + ((50 + 10x) + x(10 + 2x)) = 180 x + (50 + 10x + (10 * x + 2x * x)) = 180 x + (50 + 10x + (10x + 2x2)) = 180 Combine like terms: 10x + 10x = 20x x + (50 + 20x + 2x2) = 180 Reorder the terms: 50 + x + 20x + 2x2 = 180 Combine like terms: x + 20x = 21x 50 + 21x + 2x2 = 180 Solving 50 + 21x + 2x2 = 180 Solving for variable 'x'. Reorder the terms: 50 + -180 + 21x + 2x2 = 180 + -180 Combine like terms: 50 + -180 = -130 -130 + 21x + 2x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -130 + 21x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -65 + 10.5x + x2 = 0 Move the constant term to the right: Add '65' to each side of the equation. -65 + 10.5x + 65 + x2 = 0 + 65 Reorder the terms: -65 + 65 + 10.5x + x2 = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 10.5x + x2 = 0 + 65 10.5x + x2 = 0 + 65 Combine like terms: 0 + 65 = 65 10.5x + x2 = 65 The x term is 10.5x. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5x + 27.5625 + x2 = 65 + 27.5625 Reorder the terms: 27.5625 + 10.5x + x2 = 65 + 27.5625 Combine like terms: 65 + 27.5625 = 92.5625 27.5625 + 10.5x + x2 = 92.5625 Factor a perfect square on the left side: (x + 5.25)(x + 5.25) = 92.5625 Calculate the square root of the right side: 9.620940702 Break this problem into two subproblems by setting (x + 5.25) equal to 9.620940702 and -9.620940702.Subproblem 1
x + 5.25 = 9.620940702 Simplifying x + 5.25 = 9.620940702 Reorder the terms: 5.25 + x = 9.620940702 Solving 5.25 + x = 9.620940702 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = 9.620940702 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = 9.620940702 + -5.25 x = 9.620940702 + -5.25 Combine like terms: 9.620940702 + -5.25 = 4.370940702 x = 4.370940702 Simplifying x = 4.370940702Subproblem 2
x + 5.25 = -9.620940702 Simplifying x + 5.25 = -9.620940702 Reorder the terms: 5.25 + x = -9.620940702 Solving 5.25 + x = -9.620940702 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = -9.620940702 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = -9.620940702 + -5.25 x = -9.620940702 + -5.25 Combine like terms: -9.620940702 + -5.25 = -14.870940702 x = -14.870940702 Simplifying x = -14.870940702Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.370940702, -14.870940702}
| s+20=p | | -3y=0-6 | | -3y=2-6 | | -3y=1-6 | | -3y=x-6 | | 14=x-y | | 1/2(x+2)=7 | | x^2-40x+500=0 | | .5y=4+.5y | | -5x^2+14.1x-5=0 | | 5x^2+14.1x-5=0 | | v=14u | | -5x^2+14.1x+5=0 | | -5*-1-3y=-7 | | 2m+4.8m= | | -5*6-3y=-7 | | z+10=y | | 2x^2/5 | | -5*5-3y=-7 | | -5*4-3y=-7 | | -5*0-3y=-7 | | s=p-15 | | 5x^2+14.1x+5=0 | | -5*1-3y=-7 | | x^2-5x-2=-2 | | -5*3-3y=-7 | | (4x-5)(x+6)=0 | | r^2+10r+17=-7 | | 180x^2-5= | | 6x+22=x+12 | | (2x-5)/(x-8)-(3x+4)/(8-x) | | 7y-9=4y+6 |