If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x(x + 6) = 2(3 + x) + -1x2 + 2x + 25 Reorder the terms: x(6 + x) = 2(3 + x) + -1x2 + 2x + 25 (6 * x + x * x) = 2(3 + x) + -1x2 + 2x + 25 (6x + x2) = 2(3 + x) + -1x2 + 2x + 25 6x + x2 = (3 * 2 + x * 2) + -1x2 + 2x + 25 6x + x2 = (6 + 2x) + -1x2 + 2x + 25 Reorder the terms: 6x + x2 = 6 + 25 + 2x + 2x + -1x2 Combine like terms: 6 + 25 = 31 6x + x2 = 31 + 2x + 2x + -1x2 Combine like terms: 2x + 2x = 4x 6x + x2 = 31 + 4x + -1x2 Solving 6x + x2 = 31 + 4x + -1x2 Solving for variable 'x'. Reorder the terms: -31 + 6x + -4x + x2 + x2 = 31 + 4x + -1x2 + -31 + -4x + x2 Combine like terms: 6x + -4x = 2x -31 + 2x + x2 + x2 = 31 + 4x + -1x2 + -31 + -4x + x2 Combine like terms: x2 + x2 = 2x2 -31 + 2x + 2x2 = 31 + 4x + -1x2 + -31 + -4x + x2 Reorder the terms: -31 + 2x + 2x2 = 31 + -31 + 4x + -4x + -1x2 + x2 Combine like terms: 31 + -31 = 0 -31 + 2x + 2x2 = 0 + 4x + -4x + -1x2 + x2 -31 + 2x + 2x2 = 4x + -4x + -1x2 + x2 Combine like terms: 4x + -4x = 0 -31 + 2x + 2x2 = 0 + -1x2 + x2 -31 + 2x + 2x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -31 + 2x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -15.5 + x + x2 = 0 Move the constant term to the right: Add '15.5' to each side of the equation. -15.5 + x + 15.5 + x2 = 0 + 15.5 Reorder the terms: -15.5 + 15.5 + x + x2 = 0 + 15.5 Combine like terms: -15.5 + 15.5 = 0.0 0.0 + x + x2 = 0 + 15.5 x + x2 = 0 + 15.5 Combine like terms: 0 + 15.5 = 15.5 x + x2 = 15.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = 15.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 15.5 + 0.25 Combine like terms: 15.5 + 0.25 = 15.75 1.25 + x2 = 15.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 15.75 Calculate the square root of the right side: 3.968626967 Break this problem into two subproblems by setting (x + 0.5) equal to 3.968626967 and -3.968626967.Subproblem 1
x + 0.5 = 3.968626967 Simplifying x + 0.5 = 3.968626967 Reorder the terms: 0.5 + x = 3.968626967 Solving 0.5 + x = 3.968626967 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 3.968626967 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 3.968626967 + -0.5 x = 3.968626967 + -0.5 Combine like terms: 3.968626967 + -0.5 = 3.468626967 x = 3.468626967 Simplifying x = 3.468626967Subproblem 2
x + 0.5 = -3.968626967 Simplifying x + 0.5 = -3.968626967 Reorder the terms: 0.5 + x = -3.968626967 Solving 0.5 + x = -3.968626967 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -3.968626967 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -3.968626967 + -0.5 x = -3.968626967 + -0.5 Combine like terms: -3.968626967 + -0.5 = -4.468626967 x = -4.468626967 Simplifying x = -4.468626967Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.468626967, -4.468626967}
| .35x+.05(14-x)=.10(25) | | 10z+50=5000 | | -2x^2-5x-y=2 | | 3/5n-4=14 | | .25x+.05(14-x)=.10(39) | | y-80=-2(x-0) | | 3xy(-x^2-4x^2y+5xy^2)= | | 0.2x-.3=.1x+4 | | -37=3x+117x | | 4x+159=2k+153 | | -8x-38=53-x | | -5m+5m+9=7+2 | | t+2t+15=2t+30 | | -4+n=-53 | | -2x^2-33x+2(-3)-130=0 | | 24=-0.6+b | | 5x-18-4x+7=180 | | 2w/3-3/1=w/4 | | 16=2u | | 5t+9=3t-21 | | -4+n=53 | | 4x-8+4=5x-x+1 | | 1.6(4a-5)-8(-1.5a+2)= | | 3/5y-6 | | x^(-2/3)=0.5 | | 4(x+12)=38 | | .007(x+3)=.008+.017 | | y-5=2(x+0) | | 127-n=41 | | 3xy(-x^2-4x^2+5xy^2)= | | -15x-21y=-9 | | 39-8x=-12 |