If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + -5)(x + 2) = -4x + 1 Reorder the terms: (-5 + x)(x + 2) = -4x + 1 Reorder the terms: (-5 + x)(2 + x) = -4x + 1 Multiply (-5 + x) * (2 + x) (-5(2 + x) + x(2 + x)) = -4x + 1 ((2 * -5 + x * -5) + x(2 + x)) = -4x + 1 ((-10 + -5x) + x(2 + x)) = -4x + 1 (-10 + -5x + (2 * x + x * x)) = -4x + 1 (-10 + -5x + (2x + x2)) = -4x + 1 Combine like terms: -5x + 2x = -3x (-10 + -3x + x2) = -4x + 1 Reorder the terms: -10 + -3x + x2 = 1 + -4x Solving -10 + -3x + x2 = 1 + -4x Solving for variable 'x'. Reorder the terms: -10 + -1 + -3x + 4x + x2 = 1 + -4x + -1 + 4x Combine like terms: -10 + -1 = -11 -11 + -3x + 4x + x2 = 1 + -4x + -1 + 4x Combine like terms: -3x + 4x = 1x -11 + 1x + x2 = 1 + -4x + -1 + 4x Reorder the terms: -11 + 1x + x2 = 1 + -1 + -4x + 4x Combine like terms: 1 + -1 = 0 -11 + 1x + x2 = 0 + -4x + 4x -11 + 1x + x2 = -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '11' to each side of the equation. -11 + 1x + 11 + x2 = 0 + 11 Reorder the terms: -11 + 11 + 1x + x2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1x + x2 = 0 + 11 1x + x2 = 0 + 11 Combine like terms: 0 + 11 = 11 1x + x2 = 11 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = 11 + 0.25 Reorder the terms: 0.25 + x + x2 = 11 + 0.25 Combine like terms: 11 + 0.25 = 11.25 0.25 + x + x2 = 11.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 11.25 Calculate the square root of the right side: 3.354101966 Break this problem into two subproblems by setting (x + 0.5) equal to 3.354101966 and -3.354101966.Subproblem 1
x + 0.5 = 3.354101966 Simplifying x + 0.5 = 3.354101966 Reorder the terms: 0.5 + x = 3.354101966 Solving 0.5 + x = 3.354101966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 3.354101966 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 3.354101966 + -0.5 x = 3.354101966 + -0.5 Combine like terms: 3.354101966 + -0.5 = 2.854101966 x = 2.854101966 Simplifying x = 2.854101966Subproblem 2
x + 0.5 = -3.354101966 Simplifying x + 0.5 = -3.354101966 Reorder the terms: 0.5 + x = -3.354101966 Solving 0.5 + x = -3.354101966 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -3.354101966 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -3.354101966 + -0.5 x = -3.354101966 + -0.5 Combine like terms: -3.354101966 + -0.5 = -3.854101966 x = -3.854101966 Simplifying x = -3.854101966Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.854101966, -3.854101966}
| 4-(-7)=-1-(-3) | | 2xy+3x=6 | | 6(t-2)=2(9-2r) | | 8x-(3-x)=4-3x-2 | | -8-(-6)=-5-7 | | 3x-6+7x=24 | | 5x+2.5=2x-4 | | 6x-7=4x+19 | | 6x^2-13=-6 | | 10+2u=14+u | | w(w+7)=78 | | ln(x-3)+ln(3x+1)=10 | | -15t^2+45t+10=250 | | X^2+2x+7=6 | | 13-3(2x-1)=4 | | 4k+5=5k+1 | | 4a-5=0 | | 9x^6-48x^3+64= | | 0.6x+0.4(x+2)=18 | | 15x^2=50x-35 | | 7(s+3)=4(s-10)+13 | | 0.8p+8.47=17.59 | | 9x^4+7x^2-2=0 | | 280w+324=-2160w-972 | | 0.7p+7.95=16.56 | | -24=7m^2+29m | | -40=5m^2+33m | | 0.7p+7.95=16.5 | | t^2+6t+8=0 | | 8(q-7)+2q=11(q-8) | | 7x-23=5(x-4) | | 7(5+3)=4(5-10)+13 |