4x^2-15+19=5x+10

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Solution for 4x^2-15+19=5x+10 equation: 


Simplifying
4x2 + -15 + 19 = 5x + 10

Reorder the terms:
-15 + 19 + 4x2 = 5x + 10

Combine like terms: -15 + 19 = 4
4 + 4x2 = 5x + 10

Reorder the terms:
4 + 4x2 = 10 + 5x

Solving
4 + 4x2 = 10 + 5x

Solving for variable 'x'.

Reorder the terms:
4 + -10 + -5x + 4x2 = 10 + 5x + -10 + -5x

Combine like terms: 4 + -10 = -6
-6 + -5x + 4x2 = 10 + 5x + -10 + -5x

Reorder the terms:
-6 + -5x + 4x2 = 10 + -10 + 5x + -5x

Combine like terms: 10 + -10 = 0
-6 + -5x + 4x2 = 0 + 5x + -5x
-6 + -5x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -5x + 4x2 = 0

Factor a trinomial.
(-3 + -4x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4x = 0 + 3

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

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

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.75, 2}

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