If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + -4)(3x + -10) = (x + -2) + 18 Reorder the terms: (-4 + x)(3x + -10) = (x + -2) + 18 Reorder the terms: (-4 + x)(-10 + 3x) = (x + -2) + 18 Multiply (-4 + x) * (-10 + 3x) (-4(-10 + 3x) + x(-10 + 3x)) = (x + -2) + 18 ((-10 * -4 + 3x * -4) + x(-10 + 3x)) = (x + -2) + 18 ((40 + -12x) + x(-10 + 3x)) = (x + -2) + 18 (40 + -12x + (-10 * x + 3x * x)) = (x + -2) + 18 (40 + -12x + (-10x + 3x2)) = (x + -2) + 18 Combine like terms: -12x + -10x = -22x (40 + -22x + 3x2) = (x + -2) + 18 Reorder the terms: 40 + -22x + 3x2 = (-2 + x) + 18 Remove parenthesis around (-2 + x) 40 + -22x + 3x2 = -2 + x + 18 Reorder the terms: 40 + -22x + 3x2 = -2 + 18 + x Combine like terms: -2 + 18 = 16 40 + -22x + 3x2 = 16 + x Solving 40 + -22x + 3x2 = 16 + x Solving for variable 'x'. Reorder the terms: 40 + -16 + -22x + -1x + 3x2 = 16 + x + -16 + -1x Combine like terms: 40 + -16 = 24 24 + -22x + -1x + 3x2 = 16 + x + -16 + -1x Combine like terms: -22x + -1x = -23x 24 + -23x + 3x2 = 16 + x + -16 + -1x Reorder the terms: 24 + -23x + 3x2 = 16 + -16 + x + -1x Combine like terms: 16 + -16 = 0 24 + -23x + 3x2 = 0 + x + -1x 24 + -23x + 3x2 = x + -1x Combine like terms: x + -1x = 0 24 + -23x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 8 + -7.666666667x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -7.666666667x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -7.666666667x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7.666666667x + x2 = 0 + -8 -7.666666667x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -7.666666667x + x2 = -8 The x term is -7.666666667x. Take half its coefficient (-3.833333334). Square it (14.69444445) and add it to both sides. Add '14.69444445' to each side of the equation. -7.666666667x + 14.69444445 + x2 = -8 + 14.69444445 Reorder the terms: 14.69444445 + -7.666666667x + x2 = -8 + 14.69444445 Combine like terms: -8 + 14.69444445 = 6.69444445 14.69444445 + -7.666666667x + x2 = 6.69444445 Factor a perfect square on the left side: (x + -3.833333334)(x + -3.833333334) = 6.69444445 Calculate the square root of the right side: 2.58736245 Break this problem into two subproblems by setting (x + -3.833333334) equal to 2.58736245 and -2.58736245.Subproblem 1
x + -3.833333334 = 2.58736245 Simplifying x + -3.833333334 = 2.58736245 Reorder the terms: -3.833333334 + x = 2.58736245 Solving -3.833333334 + x = 2.58736245 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.833333334' to each side of the equation. -3.833333334 + 3.833333334 + x = 2.58736245 + 3.833333334 Combine like terms: -3.833333334 + 3.833333334 = 0.000000000 0.000000000 + x = 2.58736245 + 3.833333334 x = 2.58736245 + 3.833333334 Combine like terms: 2.58736245 + 3.833333334 = 6.420695784 x = 6.420695784 Simplifying x = 6.420695784Subproblem 2
x + -3.833333334 = -2.58736245 Simplifying x + -3.833333334 = -2.58736245 Reorder the terms: -3.833333334 + x = -2.58736245 Solving -3.833333334 + x = -2.58736245 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.833333334' to each side of the equation. -3.833333334 + 3.833333334 + x = -2.58736245 + 3.833333334 Combine like terms: -3.833333334 + 3.833333334 = 0.000000000 0.000000000 + x = -2.58736245 + 3.833333334 x = -2.58736245 + 3.833333334 Combine like terms: -2.58736245 + 3.833333334 = 1.245970884 x = 1.245970884 Simplifying x = 1.245970884Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.420695784, 1.245970884}
| x+x+11+(7/9)x=711 | | 10(9+10v)= | | 2n-6n=-24 | | 3(T+1)-T-10=4(T+4)+3 | | 108+4x=-2x-3x | | 2x-5+3x-9+x-2=180 | | x-1/3x-1/2x-6=0 | | 19-5+8= | | 9+7x-3x=2x+3-x | | 173=-w+76 | | 3(T+1)-T-10=4 | | 6(5+7v)= | | -2(8)+2y=-34 | | 106-y=181 | | -1/2(6x-8)+4x | | 234/v=13 | | 9r-3r=2r+24 | | 35+90m=75+80m | | 5/6y+1/5(y-6)=(y+1)/3 | | 3/4(12x+100)=34x+45-6x | | 267-u=122 | | 9/13T=90 | | D+c/b | | 5/6y+1/5(y-6)=y+1/3 | | 3x+3-1+4x=180 | | 5/x+5/2x=15 | | k+1/1/2=3 | | -96=-6(15-2x) | | x-2/3=2+1/6 | | 3/5n-2=4 | | a(1+2a)=10 | | 3x+3=-1+4c |