If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 27x + 40 = 0 Reorder the terms: 40 + 27x + 4x2 = 0 Solving 40 + 27x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 10 + 6.75x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 6.75x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 6.75x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6.75x + x2 = 0 + -10 6.75x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 6.75x + x2 = -10 The x term is 6.75x. Take half its coefficient (3.375). Square it (11.390625) and add it to both sides. Add '11.390625' to each side of the equation. 6.75x + 11.390625 + x2 = -10 + 11.390625 Reorder the terms: 11.390625 + 6.75x + x2 = -10 + 11.390625 Combine like terms: -10 + 11.390625 = 1.390625 11.390625 + 6.75x + x2 = 1.390625 Factor a perfect square on the left side: (x + 3.375)(x + 3.375) = 1.390625 Calculate the square root of the right side: 1.179247642 Break this problem into two subproblems by setting (x + 3.375) equal to 1.179247642 and -1.179247642.Subproblem 1
x + 3.375 = 1.179247642 Simplifying x + 3.375 = 1.179247642 Reorder the terms: 3.375 + x = 1.179247642 Solving 3.375 + x = 1.179247642 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.375' to each side of the equation. 3.375 + -3.375 + x = 1.179247642 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + x = 1.179247642 + -3.375 x = 1.179247642 + -3.375 Combine like terms: 1.179247642 + -3.375 = -2.195752358 x = -2.195752358 Simplifying x = -2.195752358Subproblem 2
x + 3.375 = -1.179247642 Simplifying x + 3.375 = -1.179247642 Reorder the terms: 3.375 + x = -1.179247642 Solving 3.375 + x = -1.179247642 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.375' to each side of the equation. 3.375 + -3.375 + x = -1.179247642 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + x = -1.179247642 + -3.375 x = -1.179247642 + -3.375 Combine like terms: -1.179247642 + -3.375 = -4.554247642 x = -4.554247642 Simplifying x = -4.554247642Solution
The solution to the problem is based on the solutions from the subproblems. x = {-2.195752358, -4.554247642}
| 4x^2+10x+6=0 | | 4(3-5p)=-5(3p+3) | | -42=-7+5w | | -12=10+11x | | -3x+2x-9y-2x= | | -8(x+10)=80 | | 8-1.2=2 | | 6x-3+2x=21 | | 16x+8=8x | | -42+3c=-6 | | 3x+2x+y+2y-3= | | 4x^2-9x+2=0 | | 3(x+9)=21 | | 1.3333333k-.428571429=4+1.125k | | 6x+10=70 | | -x^2+4x=0 | | 2(35n+6)=2.5-2 | | 1.3333333k-.428571429=4+1.125 | | 7a-2a+8b-2b= | | Y^2=y+30 | | 2x+4=32 | | 11w+2(3w-1)=15w | | 5x^2-11x-3=0 | | 9m^2-30m+20=0 | | -14x-(-10)=4x+100 | | -3(x+8)= | | -10-2=n | | -3.6x+2.2=-4.8 | | x+3=-5+3x | | y+12=7 | | 11w+9z+3z+5w= | | 227=-y+65 |