4x^2-15x+4=-7x

Solution for 4x^2-15x+4=-7x equation:

Simplifying
4x2 + -15x + 4 = -7x

Reorder the terms:
4 + -15x + 4x2 = -7x

Solving
4 + -15x + 4x2 = -7x

Solving for variable 'x'.

Reorder the terms:
4 + -15x + 7x + 4x2 = -7x + 7x

Combine like terms: -15x + 7x = -8x
4 + -8x + 4x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
4 + -8x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -2x + x2) = 0

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

Ignore the factor 4.
Subproblem 1
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
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 = {1, 1}