If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10x(2x + 9) = -3(15 + -4x) Reorder the terms: 10x(9 + 2x) = -3(15 + -4x) (9 * 10x + 2x * 10x) = -3(15 + -4x) (90x + 20x2) = -3(15 + -4x) 90x + 20x2 = (15 * -3 + -4x * -3) 90x + 20x2 = (-45 + 12x) Solving 90x + 20x2 = -45 + 12x Solving for variable 'x'. Reorder the terms: 45 + 90x + -12x + 20x2 = -45 + 12x + 45 + -12x Combine like terms: 90x + -12x = 78x 45 + 78x + 20x2 = -45 + 12x + 45 + -12x Reorder the terms: 45 + 78x + 20x2 = -45 + 45 + 12x + -12x Combine like terms: -45 + 45 = 0 45 + 78x + 20x2 = 0 + 12x + -12x 45 + 78x + 20x2 = 12x + -12x Combine like terms: 12x + -12x = 0 45 + 78x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 2.25 + 3.9x + x2 = 0.0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + 3.9x + -2.25 + x2 = 0.0 + -2.25 Reorder the terms: 2.25 + -2.25 + 3.9x + x2 = 0.0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 3.9x + x2 = 0.0 + -2.25 3.9x + x2 = 0.0 + -2.25 Combine like terms: 0.0 + -2.25 = -2.25 3.9x + x2 = -2.25 The x term is 3.9x. Take half its coefficient (1.95). Square it (3.8025) and add it to both sides. Add '3.8025' to each side of the equation. 3.9x + 3.8025 + x2 = -2.25 + 3.8025 Reorder the terms: 3.8025 + 3.9x + x2 = -2.25 + 3.8025 Combine like terms: -2.25 + 3.8025 = 1.5525 3.8025 + 3.9x + x2 = 1.5525 Factor a perfect square on the left side: (x + 1.95)(x + 1.95) = 1.5525 Calculate the square root of the right side: 1.245993579 Break this problem into two subproblems by setting (x + 1.95) equal to 1.245993579 and -1.245993579.Subproblem 1
x + 1.95 = 1.245993579 Simplifying x + 1.95 = 1.245993579 Reorder the terms: 1.95 + x = 1.245993579 Solving 1.95 + x = 1.245993579 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.95' to each side of the equation. 1.95 + -1.95 + x = 1.245993579 + -1.95 Combine like terms: 1.95 + -1.95 = 0.00 0.00 + x = 1.245993579 + -1.95 x = 1.245993579 + -1.95 Combine like terms: 1.245993579 + -1.95 = -0.704006421 x = -0.704006421 Simplifying x = -0.704006421Subproblem 2
x + 1.95 = -1.245993579 Simplifying x + 1.95 = -1.245993579 Reorder the terms: 1.95 + x = -1.245993579 Solving 1.95 + x = -1.245993579 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.95' to each side of the equation. 1.95 + -1.95 + x = -1.245993579 + -1.95 Combine like terms: 1.95 + -1.95 = 0.00 0.00 + x = -1.245993579 + -1.95 x = -1.245993579 + -1.95 Combine like terms: -1.245993579 + -1.95 = -3.195993579 x = -3.195993579 Simplifying x = -3.195993579Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.704006421, -3.195993579}
| -13+-9+-12= | | -13+-1+-9= | | -7n+6(1-6n)=6+5n | | 3b^2+b=12+2b^2 | | 6.37/97.37 | | -7-2(p-1)=11 | | Ln(x)+ln(x-8)=ln(20) | | 7x=14x-140 | | 33/42= | | 5=13/6x | | 246=-6(-5x-1) | | 5=31/15x | | 2x*6x-10=48 | | 0=-16t^2+60t+40 | | x-35=3 | | 4-3x+4x=-3 | | 30x+8=18x+12 | | 5=15/7x | | 5x+x+32=180 | | 5=11/5x | | -7+4(3x+5)=13 | | 2x*6x-10= | | -4t+1=t+9-4t | | 5=21/9x | | 55+110x=825 | | 5=27/13x | | 6x=4x+56 | | 0.5x-7.5(x-2)=43 | | 5+-x=12 | | 3n^2-12n+8=0 | | (6x+1)(3x+7)=0 | | 5n-3(n-6)=4+3n |