If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4 + 5x)(x + 2) = 180 Reorder the terms: (4 + 5x)(2 + x) = 180 Multiply (4 + 5x) * (2 + x) (4(2 + x) + 5x * (2 + x)) = 180 ((2 * 4 + x * 4) + 5x * (2 + x)) = 180 ((8 + 4x) + 5x * (2 + x)) = 180 (8 + 4x + (2 * 5x + x * 5x)) = 180 (8 + 4x + (10x + 5x2)) = 180 Combine like terms: 4x + 10x = 14x (8 + 14x + 5x2) = 180 Solving 8 + 14x + 5x2 = 180 Solving for variable 'x'. Reorder the terms: 8 + -180 + 14x + 5x2 = 180 + -180 Combine like terms: 8 + -180 = -172 -172 + 14x + 5x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -172 + 14x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -34.4 + 2.8x + x2 = 0 Move the constant term to the right: Add '34.4' to each side of the equation. -34.4 + 2.8x + 34.4 + x2 = 0 + 34.4 Reorder the terms: -34.4 + 34.4 + 2.8x + x2 = 0 + 34.4 Combine like terms: -34.4 + 34.4 = 0.0 0.0 + 2.8x + x2 = 0 + 34.4 2.8x + x2 = 0 + 34.4 Combine like terms: 0 + 34.4 = 34.4 2.8x + x2 = 34.4 The x term is 2.8x. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8x + 1.96 + x2 = 34.4 + 1.96 Reorder the terms: 1.96 + 2.8x + x2 = 34.4 + 1.96 Combine like terms: 34.4 + 1.96 = 36.36 1.96 + 2.8x + x2 = 36.36 Factor a perfect square on the left side: (x + 1.4)(x + 1.4) = 36.36 Calculate the square root of the right side: 6.029925373 Break this problem into two subproblems by setting (x + 1.4) equal to 6.029925373 and -6.029925373.Subproblem 1
x + 1.4 = 6.029925373 Simplifying x + 1.4 = 6.029925373 Reorder the terms: 1.4 + x = 6.029925373 Solving 1.4 + x = 6.029925373 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + x = 6.029925373 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + x = 6.029925373 + -1.4 x = 6.029925373 + -1.4 Combine like terms: 6.029925373 + -1.4 = 4.629925373 x = 4.629925373 Simplifying x = 4.629925373Subproblem 2
x + 1.4 = -6.029925373 Simplifying x + 1.4 = -6.029925373 Reorder the terms: 1.4 + x = -6.029925373 Solving 1.4 + x = -6.029925373 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + x = -6.029925373 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + x = -6.029925373 + -1.4 x = -6.029925373 + -1.4 Combine like terms: -6.029925373 + -1.4 = -7.429925373 x = -7.429925373 Simplifying x = -7.429925373Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.629925373, -7.429925373}
| z^2+48z=0 | | -3.31x=8.99 | | h=-16t^2+48+192 | | j^2-8j=-11 | | 10000000000000000000000000000000000+80000000000000000+k=10000000000000000000000000000000000000000000000 | | p+6=21 | | w^2+4w-31=0 | | 5/6(x)=1/3 | | (6x+4)+32=180 | | 3/4x3/4x3/5 | | v^2+19v=0 | | p^2+18p=-11 | | 24+n=11+24 | | 19 = c3+ 15 | | g^2+7g=0 | | 1+100=2 | | Y=5x^2-2x-1 | | 1=20-0.1P | | n^2+25n+24=0 | | y(0)=2 | | 2n=2/3 | | K^2-20k=43 | | m(2m-1)=0 | | 3x+13=7.50x+16 | | 5x^2+x^4-4=0 | | y+1+1=3y | | x^2+2xy-y=2xy | | (x/12)^72 | | (4c-3)(7c-9)=0 | | (x/12)(72) | | (4x+x^2)(1-2x)= | | h^2+16=45 |