10r^2-33r-7=(2r-7)(5r+1)

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Solution for 10r^2-33r-7=(2r-7)(5r+1) equation:


Simplifying
10r2 + -33r + -7 = (2r + -7)(5r + 1)

Reorder the terms:
-7 + -33r + 10r2 = (2r + -7)(5r + 1)

Reorder the terms:
-7 + -33r + 10r2 = (-7 + 2r)(5r + 1)

Reorder the terms:
-7 + -33r + 10r2 = (-7 + 2r)(1 + 5r)

Multiply (-7 + 2r) * (1 + 5r)
-7 + -33r + 10r2 = (-7(1 + 5r) + 2r * (1 + 5r))
-7 + -33r + 10r2 = ((1 * -7 + 5r * -7) + 2r * (1 + 5r))
-7 + -33r + 10r2 = ((-7 + -35r) + 2r * (1 + 5r))
-7 + -33r + 10r2 = (-7 + -35r + (1 * 2r + 5r * 2r))
-7 + -33r + 10r2 = (-7 + -35r + (2r + 10r2))

Combine like terms: -35r + 2r = -33r
-7 + -33r + 10r2 = (-7 + -33r + 10r2)

Add '7' to each side of the equation.
-7 + -33r + 7 + 10r2 = -7 + -33r + 7 + 10r2

Reorder the terms:
-7 + 7 + -33r + 10r2 = -7 + -33r + 7 + 10r2

Combine like terms: -7 + 7 = 0
0 + -33r + 10r2 = -7 + -33r + 7 + 10r2
-33r + 10r2 = -7 + -33r + 7 + 10r2

Reorder the terms:
-33r + 10r2 = -7 + 7 + -33r + 10r2

Combine like terms: -7 + 7 = 0
-33r + 10r2 = 0 + -33r + 10r2
-33r + 10r2 = -33r + 10r2

Add '33r' to each side of the equation.
-33r + 33r + 10r2 = -33r + 33r + 10r2

Combine like terms: -33r + 33r = 0
0 + 10r2 = -33r + 33r + 10r2
10r2 = -33r + 33r + 10r2

Combine like terms: -33r + 33r = 0
10r2 = 0 + 10r2
10r2 = 10r2

Add '-10r2' to each side of the equation.
10r2 + -10r2 = 10r2 + -10r2

Combine like terms: 10r2 + -10r2 = 0
0 = 10r2 + -10r2

Combine like terms: 10r2 + -10r2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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