If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2(2x + -3)(x + 1) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) Reorder the terms: 2(-3 + 2x)(x + 1) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) Reorder the terms: 2(-3 + 2x)(1 + x) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) Multiply (-3 + 2x) * (1 + x) 2(-3(1 + x) + 2x * (1 + x)) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) 2((1 * -3 + x * -3) + 2x * (1 + x)) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) 2((-3 + -3x) + 2x * (1 + x)) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) 2(-3 + -3x + (1 * 2x + x * 2x)) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) 2(-3 + -3x + (2x + 2x2)) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) Combine like terms: -3x + 2x = -1x 2(-3 + -1x + 2x2) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) (-3 * 2 + -1x * 2 + 2x2 * 2) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) (-6 + -2x + 4x2) + -5(x2 + -2x + -1) = 2(x + -2)(x + -1) Reorder the terms: -6 + -2x + 4x2 + -5(-1 + -2x + x2) = 2(x + -2)(x + -1) -6 + -2x + 4x2 + (-1 * -5 + -2x * -5 + x2 * -5) = 2(x + -2)(x + -1) -6 + -2x + 4x2 + (5 + 10x + -5x2) = 2(x + -2)(x + -1) Reorder the terms: -6 + 5 + -2x + 10x + 4x2 + -5x2 = 2(x + -2)(x + -1) Combine like terms: -6 + 5 = -1 -1 + -2x + 10x + 4x2 + -5x2 = 2(x + -2)(x + -1) Combine like terms: -2x + 10x = 8x -1 + 8x + 4x2 + -5x2 = 2(x + -2)(x + -1) Combine like terms: 4x2 + -5x2 = -1x2 -1 + 8x + -1x2 = 2(x + -2)(x + -1) Reorder the terms: -1 + 8x + -1x2 = 2(-2 + x)(x + -1) Reorder the terms: -1 + 8x + -1x2 = 2(-2 + x)(-1 + x) Multiply (-2 + x) * (-1 + x) -1 + 8x + -1x2 = 2(-2(-1 + x) + x(-1 + x)) -1 + 8x + -1x2 = 2((-1 * -2 + x * -2) + x(-1 + x)) -1 + 8x + -1x2 = 2((2 + -2x) + x(-1 + x)) -1 + 8x + -1x2 = 2(2 + -2x + (-1 * x + x * x)) -1 + 8x + -1x2 = 2(2 + -2x + (-1x + x2)) Combine like terms: -2x + -1x = -3x -1 + 8x + -1x2 = 2(2 + -3x + x2) -1 + 8x + -1x2 = (2 * 2 + -3x * 2 + x2 * 2) -1 + 8x + -1x2 = (4 + -6x + 2x2) Solving -1 + 8x + -1x2 = 4 + -6x + 2x2 Solving for variable 'x'. Reorder the terms: -1 + -4 + 8x + 6x + -1x2 + -2x2 = 4 + -6x + 2x2 + -4 + 6x + -2x2 Combine like terms: -1 + -4 = -5 -5 + 8x + 6x + -1x2 + -2x2 = 4 + -6x + 2x2 + -4 + 6x + -2x2 Combine like terms: 8x + 6x = 14x -5 + 14x + -1x2 + -2x2 = 4 + -6x + 2x2 + -4 + 6x + -2x2 Combine like terms: -1x2 + -2x2 = -3x2 -5 + 14x + -3x2 = 4 + -6x + 2x2 + -4 + 6x + -2x2 Reorder the terms: -5 + 14x + -3x2 = 4 + -4 + -6x + 6x + 2x2 + -2x2 Combine like terms: 4 + -4 = 0 -5 + 14x + -3x2 = 0 + -6x + 6x + 2x2 + -2x2 -5 + 14x + -3x2 = -6x + 6x + 2x2 + -2x2 Combine like terms: -6x + 6x = 0 -5 + 14x + -3x2 = 0 + 2x2 + -2x2 -5 + 14x + -3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + 14x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1.666666667 + -4.666666667x + x2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -4.666666667x + -1.666666667 + x2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -4.666666667x + x2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -4.666666667x + x2 = 0 + -1.666666667 -4.666666667x + x2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -4.666666667x + x2 = -1.666666667 The x term is -4.666666667x. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667x + 5.444444448 + x2 = -1.666666667 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667x + x2 = -1.666666667 + 5.444444448 Combine like terms: -1.666666667 + 5.444444448 = 3.777777781 5.444444448 + -4.666666667x + x2 = 3.777777781 Factor a perfect square on the left side: (x + -2.333333334)(x + -2.333333334) = 3.777777781 Calculate the square root of the right side: 1.943650632 Break this problem into two subproblems by setting (x + -2.333333334) equal to 1.943650632 and -1.943650632.Subproblem 1
x + -2.333333334 = 1.943650632 Simplifying x + -2.333333334 = 1.943650632 Reorder the terms: -2.333333334 + x = 1.943650632 Solving -2.333333334 + x = 1.943650632 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.333333334' to each side of the equation. -2.333333334 + 2.333333334 + x = 1.943650632 + 2.333333334 Combine like terms: -2.333333334 + 2.333333334 = 0.000000000 0.000000000 + x = 1.943650632 + 2.333333334 x = 1.943650632 + 2.333333334 Combine like terms: 1.943650632 + 2.333333334 = 4.276983966 x = 4.276983966 Simplifying x = 4.276983966Subproblem 2
x + -2.333333334 = -1.943650632 Simplifying x + -2.333333334 = -1.943650632 Reorder the terms: -2.333333334 + x = -1.943650632 Solving -2.333333334 + x = -1.943650632 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.333333334' to each side of the equation. -2.333333334 + 2.333333334 + x = -1.943650632 + 2.333333334 Combine like terms: -2.333333334 + 2.333333334 = 0.000000000 0.000000000 + x = -1.943650632 + 2.333333334 x = -1.943650632 + 2.333333334 Combine like terms: -1.943650632 + 2.333333334 = 0.389682702 x = 0.389682702 Simplifying x = 0.389682702Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.276983966, 0.389682702}
| x^4=1 | | 2(2x-3)(x+1)-5(x+1)(x-1)=2(x-2)(x-1) | | 1+x+x^2=0 | | 18x^2+19x+5=0 | | 1+x+x^2+x^3=0 | | 11x+x(x-12)=112 | | x^2-x-112=0 | | (12+11x+2x^2)=0 | | -2x^2-11x-12=0 | | 8x^2-9x+1=0 | | x^2-3xm+14=11 | | (2x+5)(2x-1)=3x^2+6x+3 | | x^2-3xm+14=m^2 | | 32x^2-16x+2=0 | | x^2-3m+14=m^2 | | 2x^2+12x-110=0 | | x^3+3x^2-18x-54=0 | | 120-4x=23x+24 | | 89-4x=2x+11 | | 10-9x=90-37x | | 2(3x-1)+4x=28 | | 3(x+5)+x=23 | | a*x^2+6*x-3=0 | | 3(6k+14)-12k(k-9)-3= | | 6/2*[2+1]=1 | | y=x^2-8x+16 | | 4x^2-30=0 | | 10x^2=540 | | 3x^2-13xy+14y^2=0 | | 12x^2+17xy+6y^2=0 | | 2x^2+17xy+30y^2=0 | | y=2x^2+3x-1 |