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Simplifying -4x2 + 40x + 300 = 0 Reorder the terms: 300 + 40x + -4x2 = 0 Solving 300 + 40x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(75 + 10x + -1x2) = 0 Factor a trinomial. 4((15 + -1x)(5 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {15, -5}
| 4x-3+1/2x | | 3x+10=100-8x | | 4(b-6)= | | 6(x+3)/4=4x-4 | | 4x^2+40x+300=0 | | (x+3)(x+8)(x-2)=0 | | P=c+3b+3aforc | | 7(3-7(y-3))=63 | | 3x^2-14x-14=0 | | 3y=2(5-3(2-y)) | | 1.2y=y+2+1 | | 1.1y=y+2+1 | | (30+2x)(50+2x)=0 | | 1.25y=y+2+1 | | 9(4-8(a-8))=9(8-4a) | | (56-y)y=663 | | -3(x-1)=2(x-4(x-2)+x) | | -3x-2(9+5x)=15-4(2x-4) | | 6(3x-6)-5x=8-2x | | 1/3(9y+6)-(y+8) | | 7(x+2)+x+3=2(4x+5)+7 | | m^2-2n+3n^2-3m+m^2-4n^2+n-m= | | P+25=15 | | 8+4x=11x | | 7+2x=9x | | a*(3a-b)= | | (4x+20)+(3x-15)=180 | | 3*(4a+b)= | | (n-6)*5=35 | | (n+4)*5=35 | | d^2-3d+2d^2-5+d-3-10d+5= | | t=15+3n |