If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x + 0.5(x + -1) * x = 105 Reorder the terms: x + 0.5(-1 + x) * x = 105 Reorder the terms for easier multiplication: x + 0.5x(-1 + x) = 105 x + (-1 * 0.5x + x * 0.5x) = 105 x + (-0.5x + 0.5x2) = 105 Combine like terms: x + -0.5x = 0.5x 0.5x + 0.5x2 = 105 Solving 0.5x + 0.5x2 = 105 Solving for variable 'x'. Reorder the terms: -105 + 0.5x + 0.5x2 = 105 + -105 Combine like terms: 105 + -105 = 0 -105 + 0.5x + 0.5x2 = 0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. -210 + x + x2 = 0 Move the constant term to the right: Add '210' to each side of the equation. -210 + x + 210 + x2 = 0 + 210 Reorder the terms: -210 + 210 + x + x2 = 0 + 210 Combine like terms: -210 + 210 = 0 0 + x + x2 = 0 + 210 x + x2 = 0 + 210 Combine like terms: 0 + 210 = 210 x + x2 = 210 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 = 210 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 210 + 0.25 Combine like terms: 210 + 0.25 = 210.25 1.25 + x2 = 210.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 210.25 Calculate the square root of the right side: 14.5 Break this problem into two subproblems by setting (x + 0.5) equal to 14.5 and -14.5.Subproblem 1
x + 0.5 = 14.5 Simplifying x + 0.5 = 14.5 Reorder the terms: 0.5 + x = 14.5 Solving 0.5 + x = 14.5 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 = 14.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 14.5 + -0.5 x = 14.5 + -0.5 Combine like terms: 14.5 + -0.5 = 14 x = 14 Simplifying x = 14Subproblem 2
x + 0.5 = -14.5 Simplifying x + 0.5 = -14.5 Reorder the terms: 0.5 + x = -14.5 Solving 0.5 + x = -14.5 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 = -14.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -14.5 + -0.5 x = -14.5 + -0.5 Combine like terms: -14.5 + -0.5 = -15 x = -15 Simplifying x = -15Solution
The solution to the problem is based on the solutions from the subproblems. x = {14, -15}
| 19x-29=3(5x-8)+4x-5 | | 7x+4(8+x)=32-3x | | 6[1-(-9x-3)]=486x+168 | | 12b-6=6(2-6) | | 3(4x-7)=6x+10+6x-30 | | 3.5x-7=4.66 | | 3(x-2)=2x-6+x | | -6(2x-9)+8=-12x+62 | | 2(X^2-4X)-5X= | | 4.6+q=5 | | m(3)=(x-4) | | 3x-4+2x=x+8 | | 2(w+1)-(3+3w)=-2w | | 3a=2b+c | | 8-m=60 | | 12000=10:6:9 | | 2(x-10)=15x+19x | | 9f-2f=20 | | -8x-1=7 | | 3x^2-33= | | 11x-8y+5=0 | | 3(3n+5)=9(7n+9)+8 | | 8-3x+4=21 | | 0=78+15x-4.9x^2 | | Y=6+rx+6 | | 16=-(2-2h) | | 6-(2x-8)= | | 7x-17x=-90 | | .40(z+1)=yforz | | F(x)=4-(2x+7)+x | | -4X-10=-15X+15 | | =2(X^2-4X)-5X |