If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 180 = (3x + 17)(0.5x + -5) Reorder the terms: 180 = (17 + 3x)(0.5x + -5) Reorder the terms: 180 = (17 + 3x)(-5 + 0.5x) Multiply (17 + 3x) * (-5 + 0.5x) 180 = (17(-5 + 0.5x) + 3x * (-5 + 0.5x)) 180 = ((-5 * 17 + 0.5x * 17) + 3x * (-5 + 0.5x)) 180 = ((-85 + 8.5x) + 3x * (-5 + 0.5x)) 180 = (-85 + 8.5x + (-5 * 3x + 0.5x * 3x)) 180 = (-85 + 8.5x + (-15x + 1.5x2)) Combine like terms: 8.5x + -15x = -6.5x 180 = (-85 + -6.5x + 1.5x2) Solving 180 = -85 + -6.5x + 1.5x2 Solving for variable 'x'. Combine like terms: 180 + 85 = 265 265 + 6.5x + -1.5x2 = -85 + -6.5x + 1.5x2 + 85 + 6.5x + -1.5x2 Reorder the terms: 265 + 6.5x + -1.5x2 = -85 + 85 + -6.5x + 6.5x + 1.5x2 + -1.5x2 Combine like terms: -85 + 85 = 0 265 + 6.5x + -1.5x2 = 0 + -6.5x + 6.5x + 1.5x2 + -1.5x2 265 + 6.5x + -1.5x2 = -6.5x + 6.5x + 1.5x2 + -1.5x2 Combine like terms: -6.5x + 6.5x = 0.0 265 + 6.5x + -1.5x2 = 0.0 + 1.5x2 + -1.5x2 265 + 6.5x + -1.5x2 = 1.5x2 + -1.5x2 Combine like terms: 1.5x2 + -1.5x2 = 0.0 265 + 6.5x + -1.5x2 = 0.0 Begin completing the square. Divide all terms by -1.5 the coefficient of the squared term: Divide each side by '-1.5'. -176.6666667 + -4.333333333x + x2 = 0 Move the constant term to the right: Add '176.6666667' to each side of the equation. -176.6666667 + -4.333333333x + 176.6666667 + x2 = 0 + 176.6666667 Reorder the terms: -176.6666667 + 176.6666667 + -4.333333333x + x2 = 0 + 176.6666667 Combine like terms: -176.6666667 + 176.6666667 = 0.0000000 0.0000000 + -4.333333333x + x2 = 0 + 176.6666667 -4.333333333x + x2 = 0 + 176.6666667 Combine like terms: 0 + 176.6666667 = 176.6666667 -4.333333333x + x2 = 176.6666667 The x term is -4.333333333x. Take half its coefficient (-2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. -4.333333333x + 4.694444446 + x2 = 176.6666667 + 4.694444446 Reorder the terms: 4.694444446 + -4.333333333x + x2 = 176.6666667 + 4.694444446 Combine like terms: 176.6666667 + 4.694444446 = 181.361111146 4.694444446 + -4.333333333x + x2 = 181.361111146 Factor a perfect square on the left side: (x + -2.166666667)(x + -2.166666667) = 181.361111146 Calculate the square root of the right side: 13.46703795 Break this problem into two subproblems by setting (x + -2.166666667) equal to 13.46703795 and -13.46703795.Subproblem 1
x + -2.166666667 = 13.46703795 Simplifying x + -2.166666667 = 13.46703795 Reorder the terms: -2.166666667 + x = 13.46703795 Solving -2.166666667 + x = 13.46703795 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.166666667' to each side of the equation. -2.166666667 + 2.166666667 + x = 13.46703795 + 2.166666667 Combine like terms: -2.166666667 + 2.166666667 = 0.000000000 0.000000000 + x = 13.46703795 + 2.166666667 x = 13.46703795 + 2.166666667 Combine like terms: 13.46703795 + 2.166666667 = 15.633704617 x = 15.633704617 Simplifying x = 15.633704617Subproblem 2
x + -2.166666667 = -13.46703795 Simplifying x + -2.166666667 = -13.46703795 Reorder the terms: -2.166666667 + x = -13.46703795 Solving -2.166666667 + x = -13.46703795 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.166666667' to each side of the equation. -2.166666667 + 2.166666667 + x = -13.46703795 + 2.166666667 Combine like terms: -2.166666667 + 2.166666667 = 0.000000000 0.000000000 + x = -13.46703795 + 2.166666667 x = -13.46703795 + 2.166666667 Combine like terms: -13.46703795 + 2.166666667 = -11.300371283 x = -11.300371283 Simplifying x = -11.300371283Solution
The solution to the problem is based on the solutions from the subproblems. x = {15.633704617, -11.300371283}
| 3x-45.87=60.54 | | 3x+27=-6x | | x^2+3x=6x+10 | | 7+6=8z-13 | | 41.84+0.50=90 | | 0.008(6-x)+0.07(x-2)=1 | | 5x+19=-9x+9 | | 0.55555555555s+1.44444444444s=24 | | 5i-(8-7i)= | | -1/4x=y | | (x^6/4y^-4)^1/2 | | (x+4)-4(3x-10)=4(2x-3)+6(3x+1) | | 7i/8-4i | | -u+209=32 | | 211=-x+165 | | -x/10=-3-(-4) | | 2-y=199 | | -32=4(x-2)-7x | | 11x+7=85 | | 4(v+6)-2v=8 | | p-0.20p=668 | | 6=2y+54+4v | | -7u+2(u-5)=-35 | | 58=67+x | | H=7/10(200-41) | | 7(w+5)-5w=19 | | 1(4x+6)+2x=2 | | x+134x+58= | | .13x+.5(x-3)=.01(2x-4) | | 12x^2+11x+2=(ax+b)(cx+d) | | 0.9(x+1.4)-2.3+0.1=1.6 | | .18x+.9(x-2)=.01(3x-3) |