If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + 17)(0.5x + -5) = 180 Reorder the terms: (17 + 3x)(0.5x + -5) = 180 Reorder the terms: (17 + 3x)(-5 + 0.5x) = 180 Multiply (17 + 3x) * (-5 + 0.5x) (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)) = 180 Combine like terms: 8.5x + -15x = -6.5x (-85 + -6.5x + 1.5x2) = 180 Solving -85 + -6.5x + 1.5x2 = 180 Solving for variable 'x'. Reorder the terms: -85 + -180 + -6.5x + 1.5x2 = 180 + -180 Combine like terms: -85 + -180 = -265 -265 + -6.5x + 1.5x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -265 + -6.5x + 1.5x2 = 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}
| S-5/8=3/8 | | n^2+3n+23=m^2 | | f(3)=10(3)+20 | | cos*3x+cos*2x+cos*x=0 | | f(x)=10x+20 | | t/3=10 | | t/30=10 | | t*30=10 | | g(x)=10-5x | | V/4-20=10 | | (x/4)-(x-5)=(3/4) | | (19x+4)(2x-1)= | | 0.2=x/5-1.4=x | | 2x^2(-2+6xy)= | | (x/-3)(3/4) | | 2x*2(-2+6xy)= | | 7x-(8x-1)=2 | | (3/5x)-(b/3x) | | (-x/-3)(3/4) | | d=1/3h(a-b) | | 3x+8-1= | | -2r^2=-52 | | G+7999=40231 | | X+134=900 | | 1(4x^2-9)-4x-14(2x-3)=3(4x^2-9)(2x-3) | | x^2+6x-k=0 | | x^2+6x-km=0 | | Y-5/3-1 | | 2y=-1x+4 | | 1/14/1/7=1/7/m | | N/4=100/4 | | 2(3t-6)=14t-t+6 |