4x^2-9x+16=15-4x^2

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Solution for 4x^2-9x+16=15-4x^2 equation: 


Simplifying
4x2 + -9x + 16 = 15 + -4x2

Reorder the terms:
16 + -9x + 4x2 = 15 + -4x2

Solving
16 + -9x + 4x2 = 15 + -4x2

Solving for variable 'x'.

Reorder the terms:
16 + -15 + -9x + 4x2 + 4x2 = 15 + -4x2 + -15 + 4x2

Combine like terms: 16 + -15 = 1
1 + -9x + 4x2 + 4x2 = 15 + -4x2 + -15 + 4x2

Combine like terms: 4x2 + 4x2 = 8x2
1 + -9x + 8x2 = 15 + -4x2 + -15 + 4x2

Reorder the terms:
1 + -9x + 8x2 = 15 + -15 + -4x2 + 4x2

Combine like terms: 15 + -15 = 0
1 + -9x + 8x2 = 0 + -4x2 + 4x2
1 + -9x + 8x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
1 + -9x + 8x2 = 0

Factor a trinomial.
(1 + -8x)(1 + -1x) = 0


Subproblem 1
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.125, 1}

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