4xsquare+4x+1=3x+16

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Solution for 4xsquare+4x+1=3x+16 equation:


Simplifying
4xsquare + 4x + 1 = 3x + 16

Reorder the terms:
1 + 4aeqrsux + 4x = 3x + 16

Reorder the terms:
1 + 4aeqrsux + 4x = 16 + 3x

Solving
1 + 4aeqrsux + 4x = 16 + 3x

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + 4aeqrsux + -1 + 4x = 16 + -1 + 3x

Reorder the terms:
1 + -1 + 4aeqrsux + 4x = 16 + -1 + 3x

Combine like terms: 1 + -1 = 0
0 + 4aeqrsux + 4x = 16 + -1 + 3x
4aeqrsux + 4x = 16 + -1 + 3x

Combine like terms: 16 + -1 = 15
4aeqrsux + 4x = 15 + 3x

Add '-4x' to each side of the equation.
4aeqrsux + 4x + -4x = 15 + 3x + -4x

Combine like terms: 4x + -4x = 0
4aeqrsux + 0 = 15 + 3x + -4x
4aeqrsux = 15 + 3x + -4x

Combine like terms: 3x + -4x = -1x
4aeqrsux = 15 + -1x

Divide each side by '4eqrsux'.
a = 3.75e-1q-1r-1s-1u-1x-1 + -0.25e-1q-1r-1s-1u-1

Simplifying
a = 3.75e-1q-1r-1s-1u-1x-1 + -0.25e-1q-1r-1s-1u-1

Reorder the terms:
a = -0.25e-1q-1r-1s-1u-1 + 3.75e-1q-1r-1s-1u-1x-1

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