If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.9714 = (14 + x)(15 + x) Multiply (14 + x) * (15 + x) 0.9714 = (14(15 + x) + x(15 + x)) 0.9714 = ((15 * 14 + x * 14) + x(15 + x)) 0.9714 = ((210 + 14x) + x(15 + x)) 0.9714 = (210 + 14x + (15 * x + x * x)) 0.9714 = (210 + 14x + (15x + x2)) Combine like terms: 14x + 15x = 29x 0.9714 = (210 + 29x + x2) Solving 0.9714 = 210 + 29x + x2 Solving for variable 'x'. Combine like terms: 0.9714 + -210 = -209.0286 -209.0286 + -29x + -1x2 = 210 + 29x + x2 + -210 + -29x + -1x2 Reorder the terms: -209.0286 + -29x + -1x2 = 210 + -210 + 29x + -29x + x2 + -1x2 Combine like terms: 210 + -210 = 0 -209.0286 + -29x + -1x2 = 0 + 29x + -29x + x2 + -1x2 -209.0286 + -29x + -1x2 = 29x + -29x + x2 + -1x2 Combine like terms: 29x + -29x = 0 -209.0286 + -29x + -1x2 = 0 + x2 + -1x2 -209.0286 + -29x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -209.0286 + -29x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 209.0286 + 29x + x2 = 0 Move the constant term to the right: Add '-209.0286' to each side of the equation. 209.0286 + 29x + -209.0286 + x2 = 0 + -209.0286 Reorder the terms: 209.0286 + -209.0286 + 29x + x2 = 0 + -209.0286 Combine like terms: 209.0286 + -209.0286 = 0.0000 0.0000 + 29x + x2 = 0 + -209.0286 29x + x2 = 0 + -209.0286 Combine like terms: 0 + -209.0286 = -209.0286 29x + x2 = -209.0286 The x term is 29x. Take half its coefficient (14.5). Square it (210.25) and add it to both sides. Add '210.25' to each side of the equation. 29x + 210.25 + x2 = -209.0286 + 210.25 Reorder the terms: 210.25 + 29x + x2 = -209.0286 + 210.25 Combine like terms: -209.0286 + 210.25 = 1.2214 210.25 + 29x + x2 = 1.2214 Factor a perfect square on the left side: (x + 14.5)(x + 14.5) = 1.2214 Calculate the square root of the right side: 1.10516967 Break this problem into two subproblems by setting (x + 14.5) equal to 1.10516967 and -1.10516967.Subproblem 1
x + 14.5 = 1.10516967 Simplifying x + 14.5 = 1.10516967 Reorder the terms: 14.5 + x = 1.10516967 Solving 14.5 + x = 1.10516967 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.5' to each side of the equation. 14.5 + -14.5 + x = 1.10516967 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + x = 1.10516967 + -14.5 x = 1.10516967 + -14.5 Combine like terms: 1.10516967 + -14.5 = -13.39483033 x = -13.39483033 Simplifying x = -13.39483033Subproblem 2
x + 14.5 = -1.10516967 Simplifying x + 14.5 = -1.10516967 Reorder the terms: 14.5 + x = -1.10516967 Solving 14.5 + x = -1.10516967 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.5' to each side of the equation. 14.5 + -14.5 + x = -1.10516967 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + x = -1.10516967 + -14.5 x = -1.10516967 + -14.5 Combine like terms: -1.10516967 + -14.5 = -15.60516967 x = -15.60516967 Simplifying x = -15.60516967Solution
The solution to the problem is based on the solutions from the subproblems. x = {-13.39483033, -15.60516967}
| 9u+1-3(-4u-3)=3(u-2) | | 18-h=5 | | y=1234x+967 | | -4x+20=64 | | 5(x+3)=20+15x | | ln(3x-9)=ln(2n+6) | | 2z^2+19+30= | | 0.5m+6=20 | | 9=2(k+2)-3 | | sin^3x+.5sin^2x-.5sinx=0 | | 10h-84=-9n-26 | | 3.9q-5.9-5.2q=-2.3q-5.9 | | -3(v+1)=v-1+2(5v+5) | | m=a/740 | | X^3/x^2-16 | | k+28=89 | | (w-7)*3=-1 | | w-7/3=-1 | | 3(-6+2)=-6-18 | | 3xh=36 | | (w-7)*3=1 | | p-12=55 | | 2z/7-8=-7 | | (u-11)/4=2 | | (4x+3)+(3x+5)=(2x+6)+(2x+8) | | 24k^2+24k-90=0 | | 11x^2-26/3x^2 | | 100=2x+8 | | -2+3X=4X-14 | | 5x+3x+10=3+x | | 13x+4y=-3 | | -2+3Z=4X-14 |