If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (12x + -32)(6x + 10) = 90 Reorder the terms: (-32 + 12x)(6x + 10) = 90 Reorder the terms: (-32 + 12x)(10 + 6x) = 90 Multiply (-32 + 12x) * (10 + 6x) (-32(10 + 6x) + 12x * (10 + 6x)) = 90 ((10 * -32 + 6x * -32) + 12x * (10 + 6x)) = 90 ((-320 + -192x) + 12x * (10 + 6x)) = 90 (-320 + -192x + (10 * 12x + 6x * 12x)) = 90 (-320 + -192x + (120x + 72x2)) = 90 Combine like terms: -192x + 120x = -72x (-320 + -72x + 72x2) = 90 Solving -320 + -72x + 72x2 = 90 Solving for variable 'x'. Reorder the terms: -320 + -90 + -72x + 72x2 = 90 + -90 Combine like terms: -320 + -90 = -410 -410 + -72x + 72x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -410 + -72x + 72x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-205 + -36x + 36x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-205 + -36x + 36x2)' equal to zero and attempt to solve: Simplifying -205 + -36x + 36x2 = 0 Solving -205 + -36x + 36x2 = 0 Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. -5.694444444 + -1x + x2 = 0 Move the constant term to the right: Add '5.694444444' to each side of the equation. -5.694444444 + -1x + 5.694444444 + x2 = 0 + 5.694444444 Reorder the terms: -5.694444444 + 5.694444444 + -1x + x2 = 0 + 5.694444444 Combine like terms: -5.694444444 + 5.694444444 = 0.000000000 0.000000000 + -1x + x2 = 0 + 5.694444444 -1x + x2 = 0 + 5.694444444 Combine like terms: 0 + 5.694444444 = 5.694444444 -1x + x2 = 5.694444444 The x term is -1x. 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. -1x + 0.25 + x2 = 5.694444444 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 5.694444444 + 0.25 Combine like terms: 5.694444444 + 0.25 = 5.944444444 0.25 + -1x + x2 = 5.944444444 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 5.944444444 Calculate the square root of the right side: 2.43812314 Break this problem into two subproblems by setting (x + -0.5) equal to 2.43812314 and -2.43812314.Subproblem 1
x + -0.5 = 2.43812314 Simplifying x + -0.5 = 2.43812314 Reorder the terms: -0.5 + x = 2.43812314 Solving -0.5 + x = 2.43812314 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 = 2.43812314 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 2.43812314 + 0.5 x = 2.43812314 + 0.5 Combine like terms: 2.43812314 + 0.5 = 2.93812314 x = 2.93812314 Simplifying x = 2.93812314Subproblem 2
x + -0.5 = -2.43812314 Simplifying x + -0.5 = -2.43812314 Reorder the terms: -0.5 + x = -2.43812314 Solving -0.5 + x = -2.43812314 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 = -2.43812314 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -2.43812314 + 0.5 x = -2.43812314 + 0.5 Combine like terms: -2.43812314 + 0.5 = -1.93812314 x = -1.93812314 Simplifying x = -1.93812314Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.93812314, -1.93812314}Solution
x = {2.93812314, -1.93812314}
| 15(4/5)+9=21 | | (x)=31+0.35x | | 5b-12(5-26)=26+7(4b-12) | | L+1/2L=27 | | 10a+5(a-30)=15 | | -[-2]= | | 8(k+6)=144 | | 5+11h=11h-6 | | x+1/7x=32 | | (x/2)+(y/3) | | 0.33x=1 | | r+4=10+2r | | (x)=27+0.40x(40) | | 5m-1=4m-15 | | 5/13*9/5 | | 3(c+7)+2=6c-2+2c | | 0.25x-2=0.5(x-1) | | 12+5x=97 | | 12x+4=11x+7 | | y^4-15y^3+61y^2+15y-350=0 | | 3r+2r=35 | | X-167=-52 | | ((x/2)-(3/y))/(x/y) | | v/16=11 | | x+1/2=x-2/4 | | 4x^2-x-13=0 | | 8-3(2-x)=20 | | 17=3[p-5]+8 | | 8/35x=-16/21 | | 4/r+9/r-7 | | 9x-12=-5x | | w^2+5w-126=0 |