Question

solve it 4x^2+21x=6x-14 ?

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Answer 1

Answer:

↪4x² + 21x = 6x - 14

↪4x² + 15x + 14 = 0

↪4x² + 8x + 7x + 14 = 0

↪4x(x + 2) + 7(x + 2)= 0

↪(4x + 7)(x + 2) = 0

x = -7/4

x = - 2

, Values of x are -2 , -7/4

Answer 2

Answer:

Move all terms containing xx to the left side of the equation.

4x2+15x=−144x2+15x=-14

Move 1414 to the left side of the equation by adding it to both sides.

4x2+15x+14=04x2+15x+14=0

Factor by grouping.

(4x+7)(x+2)=0(4x+7)(x+2)=0

Set 4x+74x+7 equal to 00 and solve for xx.

x=−74x=-74

Set x+2x+2 equal to 00 and solve for xx.

x=−2x=-2

The solution is the result of 4x+7=04x+7=0 and x+2=0x+2=0.

x=−74,−2x=-74,-2

4x2+21x=6x−144x2+21x=6x-14

4x2+21x=6x−184x2+21x=6x-18

4x2+21x=6x−124x2+21x=6x-12

4x2+21x=6x−104x2+21x=6x-10