7*4p+5r*3r+3*3q-5*5r+4*5p-10q=

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Solution for 7*4p+5r*3r+3*3q-5*5r+4*5p-10q= equation: 


Simplifying
7 * 4p + 5r * 3r + 3 * 3q + -5 * 5r + 4 * 5p + -10q = 0

Multiply 7 * 4
28p + 5r * 3r + 3 * 3q + -5 * 5r + 4 * 5p + -10q = 0

Reorder the terms for easier multiplication:
28p + 5 * 3r * r + 3 * 3q + -5 * 5r + 4 * 5p + -10q = 0

Multiply 5 * 3
28p + 15r * r + 3 * 3q + -5 * 5r + 4 * 5p + -10q = 0

Multiply r * r
28p + 15r2 + 3 * 3q + -5 * 5r + 4 * 5p + -10q = 0

Multiply 3 * 3
28p + 15r2 + 9q + -5 * 5r + 4 * 5p + -10q = 0

Multiply -5 * 5
28p + 15r2 + 9q + -25r + 4 * 5p + -10q = 0

Multiply 4 * 5
28p + 15r2 + 9q + -25r + 20p + -10q = 0

Reorder the terms:
28p + 20p + 9q + -10q + -25r + 15r2 = 0

Combine like terms: 28p + 20p = 48p
48p + 9q + -10q + -25r + 15r2 = 0

Combine like terms: 9q + -10q = -1q
48p + -1q + -25r + 15r2 = 0

Solving
48p + -1q + -25r + 15r2 = 0

Solving for variable 'p'.

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

Add 'q' to each side of the equation.
48p + -1q + -25r + q + 15r2 = 0 + q

Reorder the terms:
48p + -1q + q + -25r + 15r2 = 0 + q

Combine like terms: -1q + q = 0
48p + 0 + -25r + 15r2 = 0 + q
48p + -25r + 15r2 = 0 + q
Remove the zero:
48p + -25r + 15r2 = q

Add '25r' to each side of the equation.
48p + -25r + 25r + 15r2 = q + 25r

Combine like terms: -25r + 25r = 0
48p + 0 + 15r2 = q + 25r
48p + 15r2 = q + 25r

Add '-15r2' to each side of the equation.
48p + 15r2 + -15r2 = q + 25r + -15r2

Combine like terms: 15r2 + -15r2 = 0
48p + 0 = q + 25r + -15r2
48p = q + 25r + -15r2

Divide each side by '48'.
p = 0.02083333333q + 0.5208333333r + -0.3125r2

Simplifying
p = 0.02083333333q + 0.5208333333r + -0.3125r2

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