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Simplifying 4x2 + -25x + 36 = 4(x + -4)(x + -1a) Reorder the terms: 36 + -25x + 4x2 = 4(x + -4)(x + -1a) Reorder the terms: 36 + -25x + 4x2 = 4(-4 + x)(x + -1a) Reorder the terms: 36 + -25x + 4x2 = 4(-4 + x)(-1a + x) Multiply (-4 + x) * (-1a + x) 36 + -25x + 4x2 = 4(-4(-1a + x) + x(-1a + x)) 36 + -25x + 4x2 = 4((-1a * -4 + x * -4) + x(-1a + x)) 36 + -25x + 4x2 = 4((4a + -4x) + x(-1a + x)) 36 + -25x + 4x2 = 4(4a + -4x + (-1a * x + x * x)) 36 + -25x + 4x2 = 4(4a + -4x + (-1ax + x2)) Reorder the terms: 36 + -25x + 4x2 = 4(4a + -1ax + -4x + x2) 36 + -25x + 4x2 = 4(4a + -1ax + -4x + x2) 36 + -25x + 4x2 = (4a * 4 + -1ax * 4 + -4x * 4 + x2 * 4) 36 + -25x + 4x2 = (16a + -4ax + -16x + 4x2) Add '-4x2' to each side of the equation. 36 + -25x + 4x2 + -4x2 = 16a + -4ax + -16x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 36 + -25x + 0 = 16a + -4ax + -16x + 4x2 + -4x2 36 + -25x = 16a + -4ax + -16x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 36 + -25x = 16a + -4ax + -16x + 0 36 + -25x = 16a + -4ax + -16x Solving 36 + -25x = 16a + -4ax + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4ax' to each side of the equation. 36 + 4ax + -25x = 16a + -4ax + 4ax + -16x Combine like terms: -4ax + 4ax = 0 36 + 4ax + -25x = 16a + 0 + -16x 36 + 4ax + -25x = 16a + -16x Add '16x' to each side of the equation. 36 + 4ax + -25x + 16x = 16a + -16x + 16x Combine like terms: -25x + 16x = -9x 36 + 4ax + -9x = 16a + -16x + 16x Combine like terms: -16x + 16x = 0 36 + 4ax + -9x = 16a + 0 36 + 4ax + -9x = 16a Add '-36' to each side of the equation. 36 + 4ax + -36 + -9x = -36 + 16a Reorder the terms: 36 + -36 + 4ax + -9x = -36 + 16a Combine like terms: 36 + -36 = 0 0 + 4ax + -9x = -36 + 16a 4ax + -9x = -36 + 16a Reorder the terms: 36 + -16a + 4ax + -9x = -36 + 16a + 36 + -16a Reorder the terms: 36 + -16a + 4ax + -9x = -36 + 36 + 16a + -16a Combine like terms: -36 + 36 = 0 36 + -16a + 4ax + -9x = 0 + 16a + -16a 36 + -16a + 4ax + -9x = 16a + -16a Combine like terms: 16a + -16a = 0 36 + -16a + 4ax + -9x = 0 The solution to this equation could not be determined.
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