If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + 21)(3x + -4) = 180 Reorder the terms: (21 + 2x)(3x + -4) = 180 Reorder the terms: (21 + 2x)(-4 + 3x) = 180 Multiply (21 + 2x) * (-4 + 3x) (21(-4 + 3x) + 2x * (-4 + 3x)) = 180 ((-4 * 21 + 3x * 21) + 2x * (-4 + 3x)) = 180 ((-84 + 63x) + 2x * (-4 + 3x)) = 180 (-84 + 63x + (-4 * 2x + 3x * 2x)) = 180 (-84 + 63x + (-8x + 6x2)) = 180 Combine like terms: 63x + -8x = 55x (-84 + 55x + 6x2) = 180 Solving -84 + 55x + 6x2 = 180 Solving for variable 'x'. Reorder the terms: -84 + -180 + 55x + 6x2 = 180 + -180 Combine like terms: -84 + -180 = -264 -264 + 55x + 6x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -264 + 55x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -44 + 9.166666667x + x2 = 0 Move the constant term to the right: Add '44' to each side of the equation. -44 + 9.166666667x + 44 + x2 = 0 + 44 Reorder the terms: -44 + 44 + 9.166666667x + x2 = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 9.166666667x + x2 = 0 + 44 9.166666667x + x2 = 0 + 44 Combine like terms: 0 + 44 = 44 9.166666667x + x2 = 44 The x term is 9.166666667x. Take half its coefficient (4.583333334). Square it (21.00694445) and add it to both sides. Add '21.00694445' to each side of the equation. 9.166666667x + 21.00694445 + x2 = 44 + 21.00694445 Reorder the terms: 21.00694445 + 9.166666667x + x2 = 44 + 21.00694445 Combine like terms: 44 + 21.00694445 = 65.00694445 21.00694445 + 9.166666667x + x2 = 65.00694445 Factor a perfect square on the left side: (x + 4.583333334)(x + 4.583333334) = 65.00694445 Calculate the square root of the right side: 8.062688413 Break this problem into two subproblems by setting (x + 4.583333334) equal to 8.062688413 and -8.062688413.Subproblem 1
x + 4.583333334 = 8.062688413 Simplifying x + 4.583333334 = 8.062688413 Reorder the terms: 4.583333334 + x = 8.062688413 Solving 4.583333334 + x = 8.062688413 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.583333334' to each side of the equation. 4.583333334 + -4.583333334 + x = 8.062688413 + -4.583333334 Combine like terms: 4.583333334 + -4.583333334 = 0.000000000 0.000000000 + x = 8.062688413 + -4.583333334 x = 8.062688413 + -4.583333334 Combine like terms: 8.062688413 + -4.583333334 = 3.479355079 x = 3.479355079 Simplifying x = 3.479355079Subproblem 2
x + 4.583333334 = -8.062688413 Simplifying x + 4.583333334 = -8.062688413 Reorder the terms: 4.583333334 + x = -8.062688413 Solving 4.583333334 + x = -8.062688413 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.583333334' to each side of the equation. 4.583333334 + -4.583333334 + x = -8.062688413 + -4.583333334 Combine like terms: 4.583333334 + -4.583333334 = 0.000000000 0.000000000 + x = -8.062688413 + -4.583333334 x = -8.062688413 + -4.583333334 Combine like terms: -8.062688413 + -4.583333334 = -12.646021747 x = -12.646021747 Simplifying x = -12.646021747Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.479355079, -12.646021747}
| -3n+4+7n=-20 | | 11x+y=3 | | 3.0x+9.7=5.5 | | 9x+12-8=32 | | 6x-12=300 | | -15/8=-3y | | x^4=123 | | 6x-17=X+3whatisX | | 25x^2+2=38 | | -6x+12=48 | | -10=1-7m-4 | | -6+12=48 | | 5(2w-3)+6w= | | 7/6•5/6 | | 0/46 | | 6x+30=300 | | 3/3-(6x)^-1 | | 1/3(x-5.50)=111.75 | | Q=12-3 | | ((6x-18)/(4x^2))((x^2-6x-7)/(3x-21)) | | 0.30x-0.05(x-6)=4.30 | | y-0.5x=1 | | 2/7-1/6 | | 4x+20+3x-14=180 | | 3m-4=75 | | 10+5(2-x)= | | 5w+16=3(w+2) | | 9x-39y=23 | | 10=-30+80 | | R/3=205 | | 6m-24=2(m+3) | | 6m-25=2(m+3) |