If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x)(4x + 9) = 400 Reorder the terms: x(9 + 4x) = 400 (9 * x + 4x * x) = 400 (9x + 4x2) = 400 Solving 9x + 4x2 = 400 Solving for variable 'x'. Reorder the terms: -400 + 9x + 4x2 = 400 + -400 Combine like terms: 400 + -400 = 0 -400 + 9x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -100 + 2.25x + x2 = 0 Move the constant term to the right: Add '100' to each side of the equation. -100 + 2.25x + 100 + x2 = 0 + 100 Reorder the terms: -100 + 100 + 2.25x + x2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 2.25x + x2 = 0 + 100 2.25x + x2 = 0 + 100 Combine like terms: 0 + 100 = 100 2.25x + x2 = 100 The x term is 2.25x. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25x + 1.265625 + x2 = 100 + 1.265625 Reorder the terms: 1.265625 + 2.25x + x2 = 100 + 1.265625 Combine like terms: 100 + 1.265625 = 101.265625 1.265625 + 2.25x + x2 = 101.265625 Factor a perfect square on the left side: (x + 1.125)(x + 1.125) = 101.265625 Calculate the square root of the right side: 10.063082281 Break this problem into two subproblems by setting (x + 1.125) equal to 10.063082281 and -10.063082281.Subproblem 1
x + 1.125 = 10.063082281 Simplifying x + 1.125 = 10.063082281 Reorder the terms: 1.125 + x = 10.063082281 Solving 1.125 + x = 10.063082281 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = 10.063082281 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = 10.063082281 + -1.125 x = 10.063082281 + -1.125 Combine like terms: 10.063082281 + -1.125 = 8.938082281 x = 8.938082281 Simplifying x = 8.938082281Subproblem 2
x + 1.125 = -10.063082281 Simplifying x + 1.125 = -10.063082281 Reorder the terms: 1.125 + x = -10.063082281 Solving 1.125 + x = -10.063082281 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + x = -10.063082281 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + x = -10.063082281 + -1.125 x = -10.063082281 + -1.125 Combine like terms: -10.063082281 + -1.125 = -11.188082281 x = -11.188082281 Simplifying x = -11.188082281Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.938082281, -11.188082281}
| 9x^2-26x+16=0 | | 2x+2y-114=0 | | y=-2(2)+5 | | a^2-8a-33=0 | | 3x-10x=15 | | 4x^2-2x=30 | | -8x+6=12+2x | | g^2+7g=120 | | -6x+-5+7+x=39 | | 5x-8y=0 | | 4x^2+36x-40=0 | | 35k^3+20k^2+14k+8=0 | | -2x-36=86 | | 25-(x+9)=6x-5 | | 4x^2+36-40=0 | | 8(13+14x)+4(2+9x)=556 | | X^3+5x^2-4x+20=0 | | 25-(x+9)=6x+5 | | -2x(x-10)=24 | | 2x+17=-9 | | 2x^2-5=1 | | x^3=36x | | 8(4p+10)+4p=368 | | (14+2x)(20+2x)=952 | | 0.5x=30 | | 5-8x=97-36x | | 37=y-42 | | 6x+244=15x-8 | | 4(x+y)=20+2x | | 6(x+6)=5(x-7) | | 4x+13x-75=0 | | 66-4x=14x+18 |