If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4(x2 + -5x + 7) + -8(x2 + 3x + -2) = 0 Reorder the terms: 4(7 + -5x + x2) + -8(x2 + 3x + -2) = 0 (7 * 4 + -5x * 4 + x2 * 4) + -8(x2 + 3x + -2) = 0 (28 + -20x + 4x2) + -8(x2 + 3x + -2) = 0 Reorder the terms: 28 + -20x + 4x2 + -8(-2 + 3x + x2) = 0 28 + -20x + 4x2 + (-2 * -8 + 3x * -8 + x2 * -8) = 0 28 + -20x + 4x2 + (16 + -24x + -8x2) = 0 Reorder the terms: 28 + 16 + -20x + -24x + 4x2 + -8x2 = 0 Combine like terms: 28 + 16 = 44 44 + -20x + -24x + 4x2 + -8x2 = 0 Combine like terms: -20x + -24x = -44x 44 + -44x + 4x2 + -8x2 = 0 Combine like terms: 4x2 + -8x2 = -4x2 44 + -44x + -4x2 = 0 Solving 44 + -44x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(11 + -11x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(11 + -11x + -1x2)' equal to zero and attempt to solve: Simplifying 11 + -11x + -1x2 = 0 Solving 11 + -11x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -11 + 11x + x2 = 0 Move the constant term to the right: Add '11' to each side of the equation. -11 + 11x + 11 + x2 = 0 + 11 Reorder the terms: -11 + 11 + 11x + x2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 11x + x2 = 0 + 11 11x + x2 = 0 + 11 Combine like terms: 0 + 11 = 11 11x + x2 = 11 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = 11 + 30.25 Reorder the terms: 30.25 + 11x + x2 = 11 + 30.25 Combine like terms: 11 + 30.25 = 41.25 30.25 + 11x + x2 = 41.25 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = 41.25 Calculate the square root of the right side: 6.422616289 Break this problem into two subproblems by setting (x + 5.5) equal to 6.422616289 and -6.422616289.Subproblem 1
x + 5.5 = 6.422616289 Simplifying x + 5.5 = 6.422616289 Reorder the terms: 5.5 + x = 6.422616289 Solving 5.5 + x = 6.422616289 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = 6.422616289 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = 6.422616289 + -5.5 x = 6.422616289 + -5.5 Combine like terms: 6.422616289 + -5.5 = 0.922616289 x = 0.922616289 Simplifying x = 0.922616289Subproblem 2
x + 5.5 = -6.422616289 Simplifying x + 5.5 = -6.422616289 Reorder the terms: 5.5 + x = -6.422616289 Solving 5.5 + x = -6.422616289 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = -6.422616289 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = -6.422616289 + -5.5 x = -6.422616289 + -5.5 Combine like terms: -6.422616289 + -5.5 = -11.922616289 x = -11.922616289 Simplifying x = -11.922616289Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.922616289, -11.922616289}Solution
x = {0.922616289, -11.922616289}
| s-1.59=10.31 | | 2x+22=x+22 | | 800=10(15)+20y | | 1/10(x+1)= | | 3y=91+2x | | 2*3-2*x=2(3-11) | | P-18=45 | | h+1.6=5.09 | | 3(sin(X))=cos(X) | | 4-4tan^2x=0 | | 2x-3-5=8 | | D+20=2.5 | | 8lnx=7 | | 8x^2-34x-9=0 | | 3.5=z/3 | | 5m-3(-7m+4)= | | 7x+10=100 | | k+13.63=15.63 | | 3x+4=2x+18 | | x-(0.2*x)=10000 | | f+1=3 | | K-14=12 | | (5x-26)x=63 | | 3(r-5)=13 | | c+20=35 | | 5m-16-8m=23 | | -6u^2-11u-4=0 | | 1.42=s-2.88 | | 9m-5(-2m+9)= | | 9m-5(-2+9)= | | 5y-16-8y=23 | | 3+2x=6+x |