If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (5x + -8)(3x + 20) = 138 Reorder the terms: (-8 + 5x)(3x + 20) = 138 Reorder the terms: (-8 + 5x)(20 + 3x) = 138 Multiply (-8 + 5x) * (20 + 3x) (-8(20 + 3x) + 5x * (20 + 3x)) = 138 ((20 * -8 + 3x * -8) + 5x * (20 + 3x)) = 138 ((-160 + -24x) + 5x * (20 + 3x)) = 138 (-160 + -24x + (20 * 5x + 3x * 5x)) = 138 (-160 + -24x + (100x + 15x2)) = 138 Combine like terms: -24x + 100x = 76x (-160 + 76x + 15x2) = 138 Solving -160 + 76x + 15x2 = 138 Solving for variable 'x'. Reorder the terms: -160 + -138 + 76x + 15x2 = 138 + -138 Combine like terms: -160 + -138 = -298 -298 + 76x + 15x2 = 138 + -138 Combine like terms: 138 + -138 = 0 -298 + 76x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. -19.86666667 + 5.066666667x + x2 = 0 Move the constant term to the right: Add '19.86666667' to each side of the equation. -19.86666667 + 5.066666667x + 19.86666667 + x2 = 0 + 19.86666667 Reorder the terms: -19.86666667 + 19.86666667 + 5.066666667x + x2 = 0 + 19.86666667 Combine like terms: -19.86666667 + 19.86666667 = 0.00000000 0.00000000 + 5.066666667x + x2 = 0 + 19.86666667 5.066666667x + x2 = 0 + 19.86666667 Combine like terms: 0 + 19.86666667 = 19.86666667 5.066666667x + x2 = 19.86666667 The x term is 5.066666667x. Take half its coefficient (2.533333334). Square it (6.417777781) and add it to both sides. Add '6.417777781' to each side of the equation. 5.066666667x + 6.417777781 + x2 = 19.86666667 + 6.417777781 Reorder the terms: 6.417777781 + 5.066666667x + x2 = 19.86666667 + 6.417777781 Combine like terms: 19.86666667 + 6.417777781 = 26.284444451 6.417777781 + 5.066666667x + x2 = 26.284444451 Factor a perfect square on the left side: (x + 2.533333334)(x + 2.533333334) = 26.284444451 Calculate the square root of the right side: 5.126835715 Break this problem into two subproblems by setting (x + 2.533333334) equal to 5.126835715 and -5.126835715.Subproblem 1
x + 2.533333334 = 5.126835715 Simplifying x + 2.533333334 = 5.126835715 Reorder the terms: 2.533333334 + x = 5.126835715 Solving 2.533333334 + x = 5.126835715 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.533333334' to each side of the equation. 2.533333334 + -2.533333334 + x = 5.126835715 + -2.533333334 Combine like terms: 2.533333334 + -2.533333334 = 0.000000000 0.000000000 + x = 5.126835715 + -2.533333334 x = 5.126835715 + -2.533333334 Combine like terms: 5.126835715 + -2.533333334 = 2.593502381 x = 2.593502381 Simplifying x = 2.593502381Subproblem 2
x + 2.533333334 = -5.126835715 Simplifying x + 2.533333334 = -5.126835715 Reorder the terms: 2.533333334 + x = -5.126835715 Solving 2.533333334 + x = -5.126835715 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.533333334' to each side of the equation. 2.533333334 + -2.533333334 + x = -5.126835715 + -2.533333334 Combine like terms: 2.533333334 + -2.533333334 = 0.000000000 0.000000000 + x = -5.126835715 + -2.533333334 x = -5.126835715 + -2.533333334 Combine like terms: -5.126835715 + -2.533333334 = -7.660169049 x = -7.660169049 Simplifying x = -7.660169049Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.593502381, -7.660169049}
| -4f-(-8)=-4f+-8 | | 2x-5+2x-5+x=180 | | -7b-b-b-(-3)=12 | | 15x=45+6-4 | | 10-[a+7]ifa=-1.5 | | .7x+1=.5 | | 4q+2n=7.6 | | Y=-16t^2+128t+320 | | 8b+12-b=2m-4 | | 3+2(2y+5)=5 | | -2h-8=-1-4 | | 16x-2=5(3x+4)-18 | | 1.25(x+6)+1.25x=27.5 | | -3+6=-3x+6 | | -84=6(n-4)+4n | | 5(x-3)-(-x+12)= | | 4x+5-2x+2=3 | | 7(x+7)=7(x+11) | | 5-(4u+7)=-26 | | -2m=-5 | | 2x+13=0.5x-4 | | .005x+20000=.007x | | 1.25(x+6)+1.25x=42.5 | | 17r-8+6r-14=-22 | | 4-3x=-47 | | 40x+47=7(5x+6)+5x+5 | | .005x+200.5x+20000=.007x | | -18n+14=-17n-16 | | 7x-7=49x-7 | | 3x=14+x+2 | | -25-a=8(1+4a) | | 4m-7=21 |