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Simplifying 15x2 + -138x + 144 = 0 Reorder the terms: 144 + -138x + 15x2 = 0 Solving 144 + -138x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(48 + -46x + 5x2) = 0 Factor a trinomial. 3((6 + -5x)(8 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {1.2, 8}
| 2n^2+12+36=20 | | 9x^2+8x-6=3x+8x^2 | | 4x(x+1)(x-2)+5(x-2)=28(x+1) | | https://www.schoology.com/system/files/attachments/page_embeds/m/2012-11/11_5.JPG | | 6.4/9.2 | | 2(3x-4)-10=15+3(2x+1) | | -2n+6(-8-9n)= | | -9n-45=-30 | | y^2-2y+1+x^2=0 | | 7(1+3z)=-17 | | 8=16+8t | | -8(4+6y)-5y= | | x^2-2x+1+y^2=0 | | 45*125= | | -5.3(-3.1+2w)= | | 2n^2+12n+9=-7 | | 3c-17(12c+6)= | | 45*139= | | 45*140= | | f(x)=10x-8 | | 45*142= | | 45*144= | | m^2-8=-2m | | -7b-3=-3+5 | | 45*145= | | 5m+6=5 | | 45*149= | | -5-4(8-9g)= | | -2(7-y)+2=-4 | | 6(17+5p)= | | 28x+8=0 | | 45*150= |
