If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + 1)(x + 9) = 90 Reorder the terms: (1 + 3x)(x + 9) = 90 Reorder the terms: (1 + 3x)(9 + x) = 90 Multiply (1 + 3x) * (9 + x) (1(9 + x) + 3x * (9 + x)) = 90 ((9 * 1 + x * 1) + 3x * (9 + x)) = 90 ((9 + 1x) + 3x * (9 + x)) = 90 (9 + 1x + (9 * 3x + x * 3x)) = 90 (9 + 1x + (27x + 3x2)) = 90 Combine like terms: 1x + 27x = 28x (9 + 28x + 3x2) = 90 Solving 9 + 28x + 3x2 = 90 Solving for variable 'x'. Reorder the terms: 9 + -90 + 28x + 3x2 = 90 + -90 Combine like terms: 9 + -90 = -81 -81 + 28x + 3x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -81 + 28x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -27 + 9.333333333x + x2 = 0 Move the constant term to the right: Add '27' to each side of the equation. -27 + 9.333333333x + 27 + x2 = 0 + 27 Reorder the terms: -27 + 27 + 9.333333333x + x2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 9.333333333x + x2 = 0 + 27 9.333333333x + x2 = 0 + 27 Combine like terms: 0 + 27 = 27 9.333333333x + x2 = 27 The x term is 9.333333333x. Take half its coefficient (4.666666667). Square it (21.77777778) and add it to both sides. Add '21.77777778' to each side of the equation. 9.333333333x + 21.77777778 + x2 = 27 + 21.77777778 Reorder the terms: 21.77777778 + 9.333333333x + x2 = 27 + 21.77777778 Combine like terms: 27 + 21.77777778 = 48.77777778 21.77777778 + 9.333333333x + x2 = 48.77777778 Factor a perfect square on the left side: (x + 4.666666667)(x + 4.666666667) = 48.77777778 Calculate the square root of the right side: 6.984108947 Break this problem into two subproblems by setting (x + 4.666666667) equal to 6.984108947 and -6.984108947.Subproblem 1
x + 4.666666667 = 6.984108947 Simplifying x + 4.666666667 = 6.984108947 Reorder the terms: 4.666666667 + x = 6.984108947 Solving 4.666666667 + x = 6.984108947 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.666666667' to each side of the equation. 4.666666667 + -4.666666667 + x = 6.984108947 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + x = 6.984108947 + -4.666666667 x = 6.984108947 + -4.666666667 Combine like terms: 6.984108947 + -4.666666667 = 2.31744228 x = 2.31744228 Simplifying x = 2.31744228Subproblem 2
x + 4.666666667 = -6.984108947 Simplifying x + 4.666666667 = -6.984108947 Reorder the terms: 4.666666667 + x = -6.984108947 Solving 4.666666667 + x = -6.984108947 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.666666667' to each side of the equation. 4.666666667 + -4.666666667 + x = -6.984108947 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + x = -6.984108947 + -4.666666667 x = -6.984108947 + -4.666666667 Combine like terms: -6.984108947 + -4.666666667 = -11.650775614 x = -11.650775614 Simplifying x = -11.650775614Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.31744228, -11.650775614}
| 9x+12y=360 | | -5(-5x+15)=-35 | | 8(2v+1)=6v+41 | | 6(q-3)=17-q | | -3x=25+2(4x+37) | | 12x^2+19x+21= | | h(t)=-16t^2+56t+32 | | 8.54x=-10.248 | | 100-45= | | 18-(-35)= | | X+92+78=180 | | 40-(-21)= | | 16-(-4)= | | p/84=-3 | | (-12)-(-14)= | | 12x^4-8x^3-19x^2+9x+8=0 | | j/8=12 | | h-27=-2 | | 25x^2-20x-45=0 | | X+4+72=180 | | 20x^2+64x-180=0 | | 7+(-50)= | | 5n^2-31n+6=0 | | (-15)+42= | | 12(r+2)=24 | | (-3)+30= | | 6+(-12)= | | 14x^2+18x=0 | | 16x^8-81=0 | | 2x+3(2x+4)=60 | | 2b^2-17b-30=0 | | 11=4d+3 |